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Simplifying -5(w + -3) = 6w + -40 Reorder the terms: -5(-3 + w) = 6w + -40 (-3 * -5 + w * -5) = 6w + -40 (15 + -5w) = 6w + -40 Reorder the terms: 15 + -5w = -40 + 6w Solving 15 + -5w = -40 + 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. 15 + -5w + -6w = -40 + 6w + -6w Combine like terms: -5w + -6w = -11w 15 + -11w = -40 + 6w + -6w Combine like terms: 6w + -6w = 0 15 + -11w = -40 + 0 15 + -11w = -40 Add '-15' to each side of the equation. 15 + -15 + -11w = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -11w = -40 + -15 -11w = -40 + -15 Combine like terms: -40 + -15 = -55 -11w = -55 Divide each side by '-11'. w = 5 Simplifying w = 5
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