3(w-7)=2w+9

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Solution for 3(w-7)=2w+9 equation:


Simplifying
3(w + -7) = 2w + 9

Reorder the terms:
3(-7 + w) = 2w + 9
(-7 * 3 + w * 3) = 2w + 9
(-21 + 3w) = 2w + 9

Reorder the terms:
-21 + 3w = 9 + 2w

Solving
-21 + 3w = 9 + 2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-2w' to each side of the equation.
-21 + 3w + -2w = 9 + 2w + -2w

Combine like terms: 3w + -2w = 1w
-21 + 1w = 9 + 2w + -2w

Combine like terms: 2w + -2w = 0
-21 + 1w = 9 + 0
-21 + 1w = 9

Add '21' to each side of the equation.
-21 + 21 + 1w = 9 + 21

Combine like terms: -21 + 21 = 0
0 + 1w = 9 + 21
1w = 9 + 21

Combine like terms: 9 + 21 = 30
1w = 30

Divide each side by '1'.
w = 30

Simplifying
w = 30

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