-7(w-1)=7w+49

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Solution for -7(w-1)=7w+49 equation:


Simplifying
-7(w + -1) = 7w + 49

Reorder the terms:
-7(-1 + w) = 7w + 49
(-1 * -7 + w * -7) = 7w + 49
(7 + -7w) = 7w + 49

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

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

Combine like terms: -7w + -7w = -14w
7 + -14w = 49 + 7w + -7w

Combine like terms: 7w + -7w = 0
7 + -14w = 49 + 0
7 + -14w = 49

Add '-7' to each side of the equation.
7 + -7 + -14w = 49 + -7

Combine like terms: 7 + -7 = 0
0 + -14w = 49 + -7
-14w = 49 + -7

Combine like terms: 49 + -7 = 42
-14w = 42

Divide each side by '-14'.
w = -3

Simplifying
w = -3

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