8w-7=-9(w-3)

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Solution for 8w-7=-9(w-3) equation:


Simplifying
8w + -7 = -9(w + -3)

Reorder the terms:
-7 + 8w = -9(w + -3)

Reorder the terms:
-7 + 8w = -9(-3 + w)
-7 + 8w = (-3 * -9 + w * -9)
-7 + 8w = (27 + -9w)

Solving
-7 + 8w = 27 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
-7 + 8w + 9w = 27 + -9w + 9w

Combine like terms: 8w + 9w = 17w
-7 + 17w = 27 + -9w + 9w

Combine like terms: -9w + 9w = 0
-7 + 17w = 27 + 0
-7 + 17w = 27

Add '7' to each side of the equation.
-7 + 7 + 17w = 27 + 7

Combine like terms: -7 + 7 = 0
0 + 17w = 27 + 7
17w = 27 + 7

Combine like terms: 27 + 7 = 34
17w = 34

Divide each side by '17'.
w = 2

Simplifying
w = 2

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