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Simplifying -5(w + -6) = 3(w + 5) Reorder the terms: -5(-6 + w) = 3(w + 5) (-6 * -5 + w * -5) = 3(w + 5) (30 + -5w) = 3(w + 5) Reorder the terms: 30 + -5w = 3(5 + w) 30 + -5w = (5 * 3 + w * 3) 30 + -5w = (15 + 3w) Solving 30 + -5w = 15 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 30 + -5w + -3w = 15 + 3w + -3w Combine like terms: -5w + -3w = -8w 30 + -8w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 30 + -8w = 15 + 0 30 + -8w = 15 Add '-30' to each side of the equation. 30 + -30 + -8w = 15 + -30 Combine like terms: 30 + -30 = 0 0 + -8w = 15 + -30 -8w = 15 + -30 Combine like terms: 15 + -30 = -15 -8w = -15 Divide each side by '-8'. w = 1.875 Simplifying w = 1.875
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