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Simplifying 18 = 5(w + 6) + -3w Reorder the terms: 18 = 5(6 + w) + -3w 18 = (6 * 5 + w * 5) + -3w 18 = (30 + 5w) + -3w Combine like terms: 5w + -3w = 2w 18 = 30 + 2w Solving 18 = 30 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 18 + -2w = 30 + 2w + -2w Combine like terms: 2w + -2w = 0 18 + -2w = 30 + 0 18 + -2w = 30 Add '-18' to each side of the equation. 18 + -18 + -2w = 30 + -18 Combine like terms: 18 + -18 = 0 0 + -2w = 30 + -18 -2w = 30 + -18 Combine like terms: 30 + -18 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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