-3(w-6)=-7w+10

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Solution for -3(w-6)=-7w+10 equation: 


Simplifying
-3(w + -6) = -7w + 10

Reorder the terms:
-3(-6 + w) = -7w + 10
(-6 * -3 + w * -3) = -7w + 10
(18 + -3w) = -7w + 10

Reorder the terms:
18 + -3w = 10 + -7w

Solving
18 + -3w = 10 + -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.
18 + -3w + 7w = 10 + -7w + 7w

Combine like terms: -3w + 7w = 4w
18 + 4w = 10 + -7w + 7w

Combine like terms: -7w + 7w = 0
18 + 4w = 10 + 0
18 + 4w = 10

Add '-18' to each side of the equation.
18 + -18 + 4w = 10 + -18

Combine like terms: 18 + -18 = 0
0 + 4w = 10 + -18
4w = 10 + -18

Combine like terms: 10 + -18 = -8
4w = -8

Divide each side by '4'.
w = -2

Simplifying
w = -2

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