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Simplifying 18 = -5w + 8(w + 6) Reorder the terms: 18 = -5w + 8(6 + w) 18 = -5w + (6 * 8 + w * 8) 18 = -5w + (48 + 8w) Reorder the terms: 18 = 48 + -5w + 8w Combine like terms: -5w + 8w = 3w 18 = 48 + 3w Solving 18 = 48 + 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. 18 + -3w = 48 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + -3w = 48 + 0 18 + -3w = 48 Add '-18' to each side of the equation. 18 + -18 + -3w = 48 + -18 Combine like terms: 18 + -18 = 0 0 + -3w = 48 + -18 -3w = 48 + -18 Combine like terms: 48 + -18 = 30 -3w = 30 Divide each side by '-3'. w = -10 Simplifying w = -10
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