3(w-6)=-4w+24

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Solution for 3(w-6)=-4w+24 equation:


Simplifying
3(w + -6) = -4w + 24

Reorder the terms:
3(-6 + w) = -4w + 24
(-6 * 3 + w * 3) = -4w + 24
(-18 + 3w) = -4w + 24

Reorder the terms:
-18 + 3w = 24 + -4w

Solving
-18 + 3w = 24 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-18 + 3w + 4w = 24 + -4w + 4w

Combine like terms: 3w + 4w = 7w
-18 + 7w = 24 + -4w + 4w

Combine like terms: -4w + 4w = 0
-18 + 7w = 24 + 0
-18 + 7w = 24

Add '18' to each side of the equation.
-18 + 18 + 7w = 24 + 18

Combine like terms: -18 + 18 = 0
0 + 7w = 24 + 18
7w = 24 + 18

Combine like terms: 24 + 18 = 42
7w = 42

Divide each side by '7'.
w = 6

Simplifying
w = 6

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