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Simplifying 4(8 + w) = 3(9 + w) (8 * 4 + w * 4) = 3(9 + w) (32 + 4w) = 3(9 + w) 32 + 4w = (9 * 3 + w * 3) 32 + 4w = (27 + 3w) Solving 32 + 4w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 32 + 4w + -3w = 27 + 3w + -3w Combine like terms: 4w + -3w = 1w 32 + 1w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 32 + 1w = 27 + 0 32 + 1w = 27 Add '-32' to each side of the equation. 32 + -32 + 1w = 27 + -32 Combine like terms: 32 + -32 = 0 0 + 1w = 27 + -32 1w = 27 + -32 Combine like terms: 27 + -32 = -5 1w = -5 Divide each side by '1'. w = -5 Simplifying w = -5
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