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Simplifying -5(w + 1) = -3(5w + -1) + 4w Reorder the terms: -5(1 + w) = -3(5w + -1) + 4w (1 * -5 + w * -5) = -3(5w + -1) + 4w (-5 + -5w) = -3(5w + -1) + 4w Reorder the terms: -5 + -5w = -3(-1 + 5w) + 4w -5 + -5w = (-1 * -3 + 5w * -3) + 4w -5 + -5w = (3 + -15w) + 4w Combine like terms: -15w + 4w = -11w -5 + -5w = 3 + -11w Solving -5 + -5w = 3 + -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. -5 + -5w + 11w = 3 + -11w + 11w Combine like terms: -5w + 11w = 6w -5 + 6w = 3 + -11w + 11w Combine like terms: -11w + 11w = 0 -5 + 6w = 3 + 0 -5 + 6w = 3 Add '5' to each side of the equation. -5 + 5 + 6w = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 6w = 3 + 5 6w = 3 + 5 Combine like terms: 3 + 5 = 8 6w = 8 Divide each side by '6'. w = 1.333333333 Simplifying w = 1.333333333
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