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Simplifying -3(2w + -3) + 3w = 3(w + 6) Reorder the terms: -3(-3 + 2w) + 3w = 3(w + 6) (-3 * -3 + 2w * -3) + 3w = 3(w + 6) (9 + -6w) + 3w = 3(w + 6) Combine like terms: -6w + 3w = -3w 9 + -3w = 3(w + 6) Reorder the terms: 9 + -3w = 3(6 + w) 9 + -3w = (6 * 3 + w * 3) 9 + -3w = (18 + 3w) Solving 9 + -3w = 18 + 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 + -3w = 18 + 3w + -3w Combine like terms: -3w + -3w = -6w 9 + -6w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -6w = 18 + 0 9 + -6w = 18 Add '-9' to each side of the equation. 9 + -9 + -6w = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -6w = 18 + -9 -6w = 18 + -9 Combine like terms: 18 + -9 = 9 -6w = 9 Divide each side by '-6'. w = -1.5 Simplifying w = -1.5
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