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Simplifying 3w + -5 + 2(3w + 3) = -3(w + 5) Reorder the terms: 3w + -5 + 2(3 + 3w) = -3(w + 5) 3w + -5 + (3 * 2 + 3w * 2) = -3(w + 5) 3w + -5 + (6 + 6w) = -3(w + 5) Reorder the terms: -5 + 6 + 3w + 6w = -3(w + 5) Combine like terms: -5 + 6 = 1 1 + 3w + 6w = -3(w + 5) Combine like terms: 3w + 6w = 9w 1 + 9w = -3(w + 5) Reorder the terms: 1 + 9w = -3(5 + w) 1 + 9w = (5 * -3 + w * -3) 1 + 9w = (-15 + -3w) Solving 1 + 9w = -15 + -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. 1 + 9w + 3w = -15 + -3w + 3w Combine like terms: 9w + 3w = 12w 1 + 12w = -15 + -3w + 3w Combine like terms: -3w + 3w = 0 1 + 12w = -15 + 0 1 + 12w = -15 Add '-1' to each side of the equation. 1 + -1 + 12w = -15 + -1 Combine like terms: 1 + -1 = 0 0 + 12w = -15 + -1 12w = -15 + -1 Combine like terms: -15 + -1 = -16 12w = -16 Divide each side by '12'. w = -1.333333333 Simplifying w = -1.333333333
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