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

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


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

Reorder the terms:
9(-6 + w) = 8(w + -7)
(-6 * 9 + w * 9) = 8(w + -7)
(-54 + 9w) = 8(w + -7)

Reorder the terms:
-54 + 9w = 8(-7 + w)
-54 + 9w = (-7 * 8 + w * 8)
-54 + 9w = (-56 + 8w)

Solving
-54 + 9w = -56 + 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.
-54 + 9w + -8w = -56 + 8w + -8w

Combine like terms: 9w + -8w = 1w
-54 + 1w = -56 + 8w + -8w

Combine like terms: 8w + -8w = 0
-54 + 1w = -56 + 0
-54 + 1w = -56

Add '54' to each side of the equation.
-54 + 54 + 1w = -56 + 54

Combine like terms: -54 + 54 = 0
0 + 1w = -56 + 54
1w = -56 + 54

Combine like terms: -56 + 54 = -2
1w = -2

Divide each side by '1'.
w = -2

Simplifying
w = -2

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