6w-9=-7(w-8)

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Solution for 6w-9=-7(w-8) equation:


Simplifying
6w + -9 = -7(w + -8)

Reorder the terms:
-9 + 6w = -7(w + -8)

Reorder the terms:
-9 + 6w = -7(-8 + w)
-9 + 6w = (-8 * -7 + w * -7)
-9 + 6w = (56 + -7w)

Solving
-9 + 6w = 56 + -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.
-9 + 6w + 7w = 56 + -7w + 7w

Combine like terms: 6w + 7w = 13w
-9 + 13w = 56 + -7w + 7w

Combine like terms: -7w + 7w = 0
-9 + 13w = 56 + 0
-9 + 13w = 56

Add '9' to each side of the equation.
-9 + 9 + 13w = 56 + 9

Combine like terms: -9 + 9 = 0
0 + 13w = 56 + 9
13w = 56 + 9

Combine like terms: 56 + 9 = 65
13w = 65

Divide each side by '13'.
w = 5

Simplifying
w = 5

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