7w-6=3(w-6)

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Solution for 7w-6=3(w-6) equation:


Simplifying
7w + -6 = 3(w + -6)

Reorder the terms:
-6 + 7w = 3(w + -6)

Reorder the terms:
-6 + 7w = 3(-6 + w)
-6 + 7w = (-6 * 3 + w * 3)
-6 + 7w = (-18 + 3w)

Solving
-6 + 7w = -18 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-6 + 7w + -3w = -18 + 3w + -3w

Combine like terms: 7w + -3w = 4w
-6 + 4w = -18 + 3w + -3w

Combine like terms: 3w + -3w = 0
-6 + 4w = -18 + 0
-6 + 4w = -18

Add '6' to each side of the equation.
-6 + 6 + 4w = -18 + 6

Combine like terms: -6 + 6 = 0
0 + 4w = -18 + 6
4w = -18 + 6

Combine like terms: -18 + 6 = -12
4w = -12

Divide each side by '4'.
w = -3

Simplifying
w = -3

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