-7(w-7)=-3w+17

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Solution for -7(w-7)=-3w+17 equation: 


Simplifying
-7(w + -7) = -3w + 17

Reorder the terms:
-7(-7 + w) = -3w + 17
(-7 * -7 + w * -7) = -3w + 17
(49 + -7w) = -3w + 17

Reorder the terms:
49 + -7w = 17 + -3w

Solving
49 + -7w = 17 + -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.
49 + -7w + 3w = 17 + -3w + 3w

Combine like terms: -7w + 3w = -4w
49 + -4w = 17 + -3w + 3w

Combine like terms: -3w + 3w = 0
49 + -4w = 17 + 0
49 + -4w = 17

Add '-49' to each side of the equation.
49 + -49 + -4w = 17 + -49

Combine like terms: 49 + -49 = 0
0 + -4w = 17 + -49
-4w = 17 + -49

Combine like terms: 17 + -49 = -32
-4w = -32

Divide each side by '-4'.
w = 8

Simplifying
w = 8

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