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Simplifying 9(w + -8) = 8w + -7 Reorder the terms: 9(-8 + w) = 8w + -7 (-8 * 9 + w * 9) = 8w + -7 (-72 + 9w) = 8w + -7 Reorder the terms: -72 + 9w = -7 + 8w Solving -72 + 9w = -7 + 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. -72 + 9w + -8w = -7 + 8w + -8w Combine like terms: 9w + -8w = 1w -72 + 1w = -7 + 8w + -8w Combine like terms: 8w + -8w = 0 -72 + 1w = -7 + 0 -72 + 1w = -7 Add '72' to each side of the equation. -72 + 72 + 1w = -7 + 72 Combine like terms: -72 + 72 = 0 0 + 1w = -7 + 72 1w = -7 + 72 Combine like terms: -7 + 72 = 65 1w = 65 Divide each side by '1'. w = 65 Simplifying w = 65
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