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