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Simplifying 18 = -5w + 2(w + -3) Reorder the terms: 18 = -5w + 2(-3 + w) 18 = -5w + (-3 * 2 + w * 2) 18 = -5w + (-6 + 2w) Reorder the terms: 18 = -6 + -5w + 2w Combine like terms: -5w + 2w = -3w 18 = -6 + -3w Solving 18 = -6 + -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 = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 18 + 3w = -6 + 0 18 + 3w = -6 Add '-18' to each side of the equation. 18 + -18 + 3w = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 3w = -6 + -18 3w = -6 + -18 Combine like terms: -6 + -18 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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