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Simplifying -6(w + -3) = 5w + 40 Reorder the terms: -6(-3 + w) = 5w + 40 (-3 * -6 + w * -6) = 5w + 40 (18 + -6w) = 5w + 40 Reorder the terms: 18 + -6w = 40 + 5w Solving 18 + -6w = 40 + 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. 18 + -6w + -5w = 40 + 5w + -5w Combine like terms: -6w + -5w = -11w 18 + -11w = 40 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + -11w = 40 + 0 18 + -11w = 40 Add '-18' to each side of the equation. 18 + -18 + -11w = 40 + -18 Combine like terms: 18 + -18 = 0 0 + -11w = 40 + -18 -11w = 40 + -18 Combine like terms: 40 + -18 = 22 -11w = 22 Divide each side by '-11'. w = -2 Simplifying w = -2
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