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Simplifying -6(w + 2) = 5w + 32 Reorder the terms: -6(2 + w) = 5w + 32 (2 * -6 + w * -6) = 5w + 32 (-12 + -6w) = 5w + 32 Reorder the terms: -12 + -6w = 32 + 5w Solving -12 + -6w = 32 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -12 + -6w + -5w = 32 + 5w + -5w Combine like terms: -6w + -5w = -11w -12 + -11w = 32 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + -11w = 32 + 0 -12 + -11w = 32 Add '12' to each side of the equation. -12 + 12 + -11w = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -11w = 32 + 12 -11w = 32 + 12 Combine like terms: 32 + 12 = 44 -11w = 44 Divide each side by '-11'. w = -4 Simplifying w = -4
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