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Simplifying -3(-5w + 7) + -2w = 5(w + -3) + -4 Reorder the terms: -3(7 + -5w) + -2w = 5(w + -3) + -4 (7 * -3 + -5w * -3) + -2w = 5(w + -3) + -4 (-21 + 15w) + -2w = 5(w + -3) + -4 Combine like terms: 15w + -2w = 13w -21 + 13w = 5(w + -3) + -4 Reorder the terms: -21 + 13w = 5(-3 + w) + -4 -21 + 13w = (-3 * 5 + w * 5) + -4 -21 + 13w = (-15 + 5w) + -4 Reorder the terms: -21 + 13w = -15 + -4 + 5w Combine like terms: -15 + -4 = -19 -21 + 13w = -19 + 5w Solving -21 + 13w = -19 + 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. -21 + 13w + -5w = -19 + 5w + -5w Combine like terms: 13w + -5w = 8w -21 + 8w = -19 + 5w + -5w Combine like terms: 5w + -5w = 0 -21 + 8w = -19 + 0 -21 + 8w = -19 Add '21' to each side of the equation. -21 + 21 + 8w = -19 + 21 Combine like terms: -21 + 21 = 0 0 + 8w = -19 + 21 8w = -19 + 21 Combine like terms: -19 + 21 = 2 8w = 2 Divide each side by '8'. w = 0.25 Simplifying w = 0.25
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