8(w+8)-(-7w-9)=14w

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Solution for 8(w+8)-(-7w-9)=14w equation:


Simplifying
8(w + 8) + -1(-7w + -9) = 14w

Reorder the terms:
8(8 + w) + -1(-7w + -9) = 14w
(8 * 8 + w * 8) + -1(-7w + -9) = 14w
(64 + 8w) + -1(-7w + -9) = 14w

Reorder the terms:
64 + 8w + -1(-9 + -7w) = 14w
64 + 8w + (-9 * -1 + -7w * -1) = 14w
64 + 8w + (9 + 7w) = 14w

Reorder the terms:
64 + 9 + 8w + 7w = 14w

Combine like terms: 64 + 9 = 73
73 + 8w + 7w = 14w

Combine like terms: 8w + 7w = 15w
73 + 15w = 14w

Solving
73 + 15w = 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
73 + 15w + -14w = 14w + -14w

Combine like terms: 15w + -14w = 1w
73 + 1w = 14w + -14w

Combine like terms: 14w + -14w = 0
73 + 1w = 0

Add '-73' to each side of the equation.
73 + -73 + 1w = 0 + -73

Combine like terms: 73 + -73 = 0
0 + 1w = 0 + -73
1w = 0 + -73

Combine like terms: 0 + -73 = -73
1w = -73

Divide each side by '1'.
w = -73

Simplifying
w = -73

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