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Simplifying 5(w + 6) = 2w + 18 Reorder the terms: 5(6 + w) = 2w + 18 (6 * 5 + w * 5) = 2w + 18 (30 + 5w) = 2w + 18 Reorder the terms: 30 + 5w = 18 + 2w Solving 30 + 5w = 18 + 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. 30 + 5w + -2w = 18 + 2w + -2w Combine like terms: 5w + -2w = 3w 30 + 3w = 18 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + 3w = 18 + 0 30 + 3w = 18 Add '-30' to each side of the equation. 30 + -30 + 3w = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 3w = 18 + -30 3w = 18 + -30 Combine like terms: 18 + -30 = -12 3w = -12 Divide each side by '3'. w = -4 Simplifying w = -4
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