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Simplifying 3(2w + -1) = 9(w + 3) Reorder the terms: 3(-1 + 2w) = 9(w + 3) (-1 * 3 + 2w * 3) = 9(w + 3) (-3 + 6w) = 9(w + 3) Reorder the terms: -3 + 6w = 9(3 + w) -3 + 6w = (3 * 9 + w * 9) -3 + 6w = (27 + 9w) Solving -3 + 6w = 27 + 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 = 27 + 9w + -9w Combine like terms: 6w + -9w = -3w -3 + -3w = 27 + 9w + -9w Combine like terms: 9w + -9w = 0 -3 + -3w = 27 + 0 -3 + -3w = 27 Add '3' to each side of the equation. -3 + 3 + -3w = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -3w = 27 + 3 -3w = 27 + 3 Combine like terms: 27 + 3 = 30 -3w = 30 Divide each side by '-3'. w = -10 Simplifying w = -10
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