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Simplifying 9w + -1(5 + 8w) = (7 + w) + -12 9w + (5 * -1 + 8w * -1) = (7 + w) + -12 9w + (-5 + -8w) = (7 + w) + -12 Reorder the terms: -5 + 9w + -8w = (7 + w) + -12 Combine like terms: 9w + -8w = 1w -5 + 1w = (7 + w) + -12 Remove parenthesis around (7 + w) -5 + 1w = 7 + w + -12 Reorder the terms: -5 + 1w = 7 + -12 + w Combine like terms: 7 + -12 = -5 -5 + 1w = -5 + w Add '5' to each side of the equation. -5 + 5 + 1w = -5 + 5 + w Combine like terms: -5 + 5 = 0 0 + 1w = -5 + 5 + w 1w = -5 + 5 + w Combine like terms: -5 + 5 = 0 1w = 0 + w 1w = w Solving 1w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 1w + -1w = w + -1w Combine like terms: 1w + -1w = 0 0 = w + -1w Combine like terms: w + -1w = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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