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Simplifying 4(w + 9) = 8w + 40 Reorder the terms: 4(9 + w) = 8w + 40 (9 * 4 + w * 4) = 8w + 40 (36 + 4w) = 8w + 40 Reorder the terms: 36 + 4w = 40 + 8w Solving 36 + 4w = 40 + 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. 36 + 4w + -8w = 40 + 8w + -8w Combine like terms: 4w + -8w = -4w 36 + -4w = 40 + 8w + -8w Combine like terms: 8w + -8w = 0 36 + -4w = 40 + 0 36 + -4w = 40 Add '-36' to each side of the equation. 36 + -36 + -4w = 40 + -36 Combine like terms: 36 + -36 = 0 0 + -4w = 40 + -36 -4w = 40 + -36 Combine like terms: 40 + -36 = 4 -4w = 4 Divide each side by '-4'. w = -1 Simplifying w = -1
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