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Simplifying -8w + 18 = -5(w + -6) Reorder the terms: 18 + -8w = -5(w + -6) Reorder the terms: 18 + -8w = -5(-6 + w) 18 + -8w = (-6 * -5 + w * -5) 18 + -8w = (30 + -5w) Solving 18 + -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. 18 + -8w + 5w = 30 + -5w + 5w Combine like terms: -8w + 5w = -3w 18 + -3w = 30 + -5w + 5w Combine like terms: -5w + 5w = 0 18 + -3w = 30 + 0 18 + -3w = 30 Add '-18' to each side of the equation. 18 + -18 + -3w = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -3w = 30 + -18 -3w = 30 + -18 Combine like terms: 30 + -18 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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