9(7+w)=8(w-5)

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Solution for 9(7+w)=8(w-5) equation:


Simplifying
9(7 + w) = 8(w + -5)
(7 * 9 + w * 9) = 8(w + -5)
(63 + 9w) = 8(w + -5)

Reorder the terms:
63 + 9w = 8(-5 + w)
63 + 9w = (-5 * 8 + w * 8)
63 + 9w = (-40 + 8w)

Solving
63 + 9w = -40 + 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.
63 + 9w + -8w = -40 + 8w + -8w

Combine like terms: 9w + -8w = 1w
63 + 1w = -40 + 8w + -8w

Combine like terms: 8w + -8w = 0
63 + 1w = -40 + 0
63 + 1w = -40

Add '-63' to each side of the equation.
63 + -63 + 1w = -40 + -63

Combine like terms: 63 + -63 = 0
0 + 1w = -40 + -63
1w = -40 + -63

Combine like terms: -40 + -63 = -103
1w = -103

Divide each side by '1'.
w = -103

Simplifying
w = -103

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