-7(w-6)-(7w-6)=-15w

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Solution for -7(w-6)-(7w-6)=-15w equation:


Simplifying
-7(w + -6) + -1(7w + -6) = -15w

Reorder the terms:
-7(-6 + w) + -1(7w + -6) = -15w
(-6 * -7 + w * -7) + -1(7w + -6) = -15w
(42 + -7w) + -1(7w + -6) = -15w

Reorder the terms:
42 + -7w + -1(-6 + 7w) = -15w
42 + -7w + (-6 * -1 + 7w * -1) = -15w
42 + -7w + (6 + -7w) = -15w

Reorder the terms:
42 + 6 + -7w + -7w = -15w

Combine like terms: 42 + 6 = 48
48 + -7w + -7w = -15w

Combine like terms: -7w + -7w = -14w
48 + -14w = -15w

Solving
48 + -14w = -15w

Solving for variable 'w'.

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

Add '15w' to each side of the equation.
48 + -14w + 15w = -15w + 15w

Combine like terms: -14w + 15w = 1w
48 + 1w = -15w + 15w

Combine like terms: -15w + 15w = 0
48 + 1w = 0

Add '-48' to each side of the equation.
48 + -48 + 1w = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 1w = 0 + -48
1w = 0 + -48

Combine like terms: 0 + -48 = -48
1w = -48

Divide each side by '1'.
w = -48

Simplifying
w = -48

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