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Simplifying -2(6w + -6) + 6w = 6(w + 3) Reorder the terms: -2(-6 + 6w) + 6w = 6(w + 3) (-6 * -2 + 6w * -2) + 6w = 6(w + 3) (12 + -12w) + 6w = 6(w + 3) Combine like terms: -12w + 6w = -6w 12 + -6w = 6(w + 3) Reorder the terms: 12 + -6w = 6(3 + w) 12 + -6w = (3 * 6 + w * 6) 12 + -6w = (18 + 6w) Solving 12 + -6w = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 12 + -6w + -6w = 18 + 6w + -6w Combine like terms: -6w + -6w = -12w 12 + -12w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -12w = 18 + 0 12 + -12w = 18 Add '-12' to each side of the equation. 12 + -12 + -12w = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -12w = 18 + -12 -12w = 18 + -12 Combine like terms: 18 + -12 = 6 -12w = 6 Divide each side by '-12'. w = -0.5 Simplifying w = -0.5
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