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Simplifying 18 = -6w + 3(w + 3) Reorder the terms: 18 = -6w + 3(3 + w) 18 = -6w + (3 * 3 + w * 3) 18 = -6w + (9 + 3w) Reorder the terms: 18 = 9 + -6w + 3w Combine like terms: -6w + 3w = -3w 18 = 9 + -3w Solving 18 = 9 + -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 = 9 + -3w + 3w Combine like terms: -3w + 3w = 0 18 + 3w = 9 + 0 18 + 3w = 9 Add '-18' to each side of the equation. 18 + -18 + 3w = 9 + -18 Combine like terms: 18 + -18 = 0 0 + 3w = 9 + -18 3w = 9 + -18 Combine like terms: 9 + -18 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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