23=-7(w-99)+-47

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Solution for 23=-7(w-99)+-47 equation:


Simplifying
23 = -7(w + -99) + -47

Reorder the terms:
23 = -7(-99 + w) + -47
23 = (-99 * -7 + w * -7) + -47
23 = (693 + -7w) + -47

Reorder the terms:
23 = 693 + -47 + -7w

Combine like terms: 693 + -47 = 646
23 = 646 + -7w

Solving
23 = 646 + -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.
23 + 7w = 646 + -7w + 7w

Combine like terms: -7w + 7w = 0
23 + 7w = 646 + 0
23 + 7w = 646

Add '-23' to each side of the equation.
23 + -23 + 7w = 646 + -23

Combine like terms: 23 + -23 = 0
0 + 7w = 646 + -23
7w = 646 + -23

Combine like terms: 646 + -23 = 623
7w = 623

Divide each side by '7'.
w = 89

Simplifying
w = 89

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