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Simplifying 9 = 3(w + 13) Reorder the terms: 9 = 3(13 + w) 9 = (13 * 3 + w * 3) 9 = (39 + 3w) Solving 9 = 39 + 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. 9 + -3w = 39 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -3w = 39 + 0 9 + -3w = 39 Add '-9' to each side of the equation. 9 + -9 + -3w = 39 + -9 Combine like terms: 9 + -9 = 0 0 + -3w = 39 + -9 -3w = 39 + -9 Combine like terms: 39 + -9 = 30 -3w = 30 Divide each side by '-3'. w = -10 Simplifying w = -10
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