7(w-8)=-8w+49

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Solution for 7(w-8)=-8w+49 equation:


Simplifying
7(w + -8) = -8w + 49

Reorder the terms:
7(-8 + w) = -8w + 49
(-8 * 7 + w * 7) = -8w + 49
(-56 + 7w) = -8w + 49

Reorder the terms:
-56 + 7w = 49 + -8w

Solving
-56 + 7w = 49 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
-56 + 7w + 8w = 49 + -8w + 8w

Combine like terms: 7w + 8w = 15w
-56 + 15w = 49 + -8w + 8w

Combine like terms: -8w + 8w = 0
-56 + 15w = 49 + 0
-56 + 15w = 49

Add '56' to each side of the equation.
-56 + 56 + 15w = 49 + 56

Combine like terms: -56 + 56 = 0
0 + 15w = 49 + 56
15w = 49 + 56

Combine like terms: 49 + 56 = 105
15w = 105

Divide each side by '15'.
w = 7

Simplifying
w = 7

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