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Simplifying 5(w + -5) + -5 = -7(-2w + 6) + -1w Reorder the terms: 5(-5 + w) + -5 = -7(-2w + 6) + -1w (-5 * 5 + w * 5) + -5 = -7(-2w + 6) + -1w (-25 + 5w) + -5 = -7(-2w + 6) + -1w Reorder the terms: -25 + -5 + 5w = -7(-2w + 6) + -1w Combine like terms: -25 + -5 = -30 -30 + 5w = -7(-2w + 6) + -1w Reorder the terms: -30 + 5w = -7(6 + -2w) + -1w -30 + 5w = (6 * -7 + -2w * -7) + -1w -30 + 5w = (-42 + 14w) + -1w Combine like terms: 14w + -1w = 13w -30 + 5w = -42 + 13w Solving -30 + 5w = -42 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -30 + 5w + -13w = -42 + 13w + -13w Combine like terms: 5w + -13w = -8w -30 + -8w = -42 + 13w + -13w Combine like terms: 13w + -13w = 0 -30 + -8w = -42 + 0 -30 + -8w = -42 Add '30' to each side of the equation. -30 + 30 + -8w = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -8w = -42 + 30 -8w = -42 + 30 Combine like terms: -42 + 30 = -12 -8w = -12 Divide each side by '-8'. w = 1.5 Simplifying w = 1.5
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