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Simplifying 8(w + -9) = 4w + -32 Reorder the terms: 8(-9 + w) = 4w + -32 (-9 * 8 + w * 8) = 4w + -32 (-72 + 8w) = 4w + -32 Reorder the terms: -72 + 8w = -32 + 4w Solving -72 + 8w = -32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -72 + 8w + -4w = -32 + 4w + -4w Combine like terms: 8w + -4w = 4w -72 + 4w = -32 + 4w + -4w Combine like terms: 4w + -4w = 0 -72 + 4w = -32 + 0 -72 + 4w = -32 Add '72' to each side of the equation. -72 + 72 + 4w = -32 + 72 Combine like terms: -72 + 72 = 0 0 + 4w = -32 + 72 4w = -32 + 72 Combine like terms: -32 + 72 = 40 4w = 40 Divide each side by '4'. w = 10 Simplifying w = 10
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