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Simplifying 9(w + -8) = 8(w + -4) Reorder the terms: 9(-8 + w) = 8(w + -4) (-8 * 9 + w * 9) = 8(w + -4) (-72 + 9w) = 8(w + -4) Reorder the terms: -72 + 9w = 8(-4 + w) -72 + 9w = (-4 * 8 + w * 8) -72 + 9w = (-32 + 8w) Solving -72 + 9w = -32 + 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 = -32 + 8w + -8w Combine like terms: 9w + -8w = 1w -72 + 1w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 -72 + 1w = -32 + 0 -72 + 1w = -32 Add '72' to each side of the equation. -72 + 72 + 1w = -32 + 72 Combine like terms: -72 + 72 = 0 0 + 1w = -32 + 72 1w = -32 + 72 Combine like terms: -32 + 72 = 40 1w = 40 Divide each side by '1'. w = 40 Simplifying w = 40
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