rearrange w=3(2a+b)-4 to make A the subject

To make A the subject in the equation w = 3(2a + b) - 4, the rearranged equation is: a = (w + 4 - 3b) / 6.

To rearrange the equation w = 3(2a + b) - 4 to make A the subject, we need to isolate A on one side of the equation. Here's how we can do it step by step:

Step 1: Distribute the 3 to the terms inside the parentheses:

w = 6a + 3b - 4.

Step 2: Move the 3b and -4 terms to the other side of the equation:

w + 4 = 6a + 3b.

Step 3: Rearrange the terms to isolate a:

6a = w + 4 - 3b.

Step 4: Divide both sides of the equation by 6 to solve for a:

a = (w + 4 - 3b) / 6.

Now, a is the subject of the equation. We have successfully rearranged the equation to express a in terms of w and b.

The probable question maybe:

rearrange w=3(2a+b)-4 to make A the subject in the equation.

The rearranged equation solving for [tex]\( a \)[/tex] is : [tex]\[ a = \frac{{w + 4}}{6} - \frac{{b}}{2} \][/tex]

This equation expresses [tex]\( a \)[/tex] as a function of [tex]\( w \)[/tex] and [tex]\( b \)[/tex], where [tex]\( w \)[/tex] is multiplied by [tex]\( \frac{1}{6} \) and \( b \)[/tex] is subtracted and then divided by [tex]\( 2 \)[/tex]. This equation can be used to calculate the value of [tex]\( a \)[/tex] given [tex]\( w \) and \( b \).[/tex]

To rearrange the equation [tex]\( w = 3(2a + b) - 4 \)[/tex] to solve for [tex]\( a \)[/tex], the first step is to isolate the term containing [tex]\( a \)[/tex] on one side of the equation.

1. Start by distributing the [tex]\( 3 \)[/tex] on the right side:

[tex]\[ w = 6a + 3b - 4 \][/tex]

2. Next, move the constants to the other side of the equation by adding [tex]\( 4 \)[/tex] to both sides:

[tex]\[ w + 4 = 6a + 3b \][/tex]

3. Now, to isolate [tex]\( a \)[/tex], divide both sides by [tex]\( 6 \):[/tex]

[tex]\[ \frac{{w + 4}}{6} = a + \frac{{3b}}{6} \][/tex]

4. Simplify:

[tex]\[ \frac{{w + 4}}{6} = a + \frac{{b}}{2} \][/tex]

5. To solve for [tex]\( a \)[/tex], subtract [tex]\( \frac{{b}}{2} \)[/tex] from both sides:

[tex]\[ \frac{{w + 4}}{6} - \frac{{b}}{2} = a \][/tex]

So, the rearranged equation solving for [tex]\( a \)[/tex] is:

[tex]\[ a = \frac{{w + 4}}{6} - \frac{{b}}{2} \][/tex]

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