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Simplifying 5(w + -7) = 8w + -5 Reorder the terms: 5(-7 + w) = 8w + -5 (-7 * 5 + w * 5) = 8w + -5 (-35 + 5w) = 8w + -5 Reorder the terms: -35 + 5w = -5 + 8w Solving -35 + 5w = -5 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -35 + 5w + -8w = -5 + 8w + -8w Combine like terms: 5w + -8w = -3w -35 + -3w = -5 + 8w + -8w Combine like terms: 8w + -8w = 0 -35 + -3w = -5 + 0 -35 + -3w = -5 Add '35' to each side of the equation. -35 + 35 + -3w = -5 + 35 Combine like terms: -35 + 35 = 0 0 + -3w = -5 + 35 -3w = -5 + 35 Combine like terms: -5 + 35 = 30 -3w = 30 Divide each side by '-3'. w = -10 Simplifying w = -10
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