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Simplifying 8w + -15 = 5(w + -6) Reorder the terms: -15 + 8w = 5(w + -6) Reorder the terms: -15 + 8w = 5(-6 + w) -15 + 8w = (-6 * 5 + w * 5) -15 + 8w = (-30 + 5w) Solving -15 + 8w = -30 + 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. -15 + 8w + -5w = -30 + 5w + -5w Combine like terms: 8w + -5w = 3w -15 + 3w = -30 + 5w + -5w Combine like terms: 5w + -5w = 0 -15 + 3w = -30 + 0 -15 + 3w = -30 Add '15' to each side of the equation. -15 + 15 + 3w = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 3w = -30 + 15 3w = -30 + 15 Combine like terms: -30 + 15 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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