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Simplifying -2(-7w + 3) + -1w = 5(w + -3) + -5 Reorder the terms: -2(3 + -7w) + -1w = 5(w + -3) + -5 (3 * -2 + -7w * -2) + -1w = 5(w + -3) + -5 (-6 + 14w) + -1w = 5(w + -3) + -5 Combine like terms: 14w + -1w = 13w -6 + 13w = 5(w + -3) + -5 Reorder the terms: -6 + 13w = 5(-3 + w) + -5 -6 + 13w = (-3 * 5 + w * 5) + -5 -6 + 13w = (-15 + 5w) + -5 Reorder the terms: -6 + 13w = -15 + -5 + 5w Combine like terms: -15 + -5 = -20 -6 + 13w = -20 + 5w Solving -6 + 13w = -20 + 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. -6 + 13w + -5w = -20 + 5w + -5w Combine like terms: 13w + -5w = 8w -6 + 8w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 -6 + 8w = -20 + 0 -6 + 8w = -20 Add '6' to each side of the equation. -6 + 6 + 8w = -20 + 6 Combine like terms: -6 + 6 = 0 0 + 8w = -20 + 6 8w = -20 + 6 Combine like terms: -20 + 6 = -14 8w = -14 Divide each side by '8'. w = -1.75 Simplifying w = -1.75
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