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Simplifying 3(2w + -1) = 9(w + 2) Reorder the terms: 3(-1 + 2w) = 9(w + 2) (-1 * 3 + 2w * 3) = 9(w + 2) (-3 + 6w) = 9(w + 2) Reorder the terms: -3 + 6w = 9(2 + w) -3 + 6w = (2 * 9 + w * 9) -3 + 6w = (18 + 9w) Solving -3 + 6w = 18 + 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. -3 + 6w + -9w = 18 + 9w + -9w Combine like terms: 6w + -9w = -3w -3 + -3w = 18 + 9w + -9w Combine like terms: 9w + -9w = 0 -3 + -3w = 18 + 0 -3 + -3w = 18 Add '3' to each side of the equation. -3 + 3 + -3w = 18 + 3 Combine like terms: -3 + 3 = 0 0 + -3w = 18 + 3 -3w = 18 + 3 Combine like terms: 18 + 3 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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