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Simplifying -2(3w + -6) + 3w = 3(w + 5) Reorder the terms: -2(-6 + 3w) + 3w = 3(w + 5) (-6 * -2 + 3w * -2) + 3w = 3(w + 5) (12 + -6w) + 3w = 3(w + 5) Combine like terms: -6w + 3w = -3w 12 + -3w = 3(w + 5) Reorder the terms: 12 + -3w = 3(5 + w) 12 + -3w = (5 * 3 + w * 3) 12 + -3w = (15 + 3w) Solving 12 + -3w = 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. 12 + -3w + -3w = 15 + 3w + -3w Combine like terms: -3w + -3w = -6w 12 + -6w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -6w = 15 + 0 12 + -6w = 15 Add '-12' to each side of the equation. 12 + -12 + -6w = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = 15 + -12 -6w = 15 + -12 Combine like terms: 15 + -12 = 3 -6w = 3 Divide each side by '-6'. w = -0.5 Simplifying w = -0.5
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