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Simplifying -3w + 3 = 2(w + -6) Reorder the terms: 3 + -3w = 2(w + -6) Reorder the terms: 3 + -3w = 2(-6 + w) 3 + -3w = (-6 * 2 + w * 2) 3 + -3w = (-12 + 2w) Solving 3 + -3w = -12 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 3 + -3w + -2w = -12 + 2w + -2w Combine like terms: -3w + -2w = -5w 3 + -5w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + -5w = -12 + 0 3 + -5w = -12 Add '-3' to each side of the equation. 3 + -3 + -5w = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -5w = -12 + -3 -5w = -12 + -3 Combine like terms: -12 + -3 = -15 -5w = -15 Divide each side by '-5'. w = 3 Simplifying w = 3
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