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Simplifying 5w + 32 = 9(w + 8) Reorder the terms: 32 + 5w = 9(w + 8) Reorder the terms: 32 + 5w = 9(8 + w) 32 + 5w = (8 * 9 + w * 9) 32 + 5w = (72 + 9w) Solving 32 + 5w = 72 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 32 + 5w + -9w = 72 + 9w + -9w Combine like terms: 5w + -9w = -4w 32 + -4w = 72 + 9w + -9w Combine like terms: 9w + -9w = 0 32 + -4w = 72 + 0 32 + -4w = 72 Add '-32' to each side of the equation. 32 + -32 + -4w = 72 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 72 + -32 -4w = 72 + -32 Combine like terms: 72 + -32 = 40 -4w = 40 Divide each side by '-4'. w = -10 Simplifying w = -10
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