4(w-6)=7w+12

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Solution for 4(w-6)=7w+12 equation:


Simplifying
4(w + -6) = 7w + 12

Reorder the terms:
4(-6 + w) = 7w + 12
(-6 * 4 + w * 4) = 7w + 12
(-24 + 4w) = 7w + 12

Reorder the terms:
-24 + 4w = 12 + 7w

Solving
-24 + 4w = 12 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-24 + 4w + -7w = 12 + 7w + -7w

Combine like terms: 4w + -7w = -3w
-24 + -3w = 12 + 7w + -7w

Combine like terms: 7w + -7w = 0
-24 + -3w = 12 + 0
-24 + -3w = 12

Add '24' to each side of the equation.
-24 + 24 + -3w = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -3w = 12 + 24
-3w = 12 + 24

Combine like terms: 12 + 24 = 36
-3w = 36

Divide each side by '-3'.
w = -12

Simplifying
w = -12

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