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Simplifying 5(w + 3) = 2w + -5 Reorder the terms: 5(3 + w) = 2w + -5 (3 * 5 + w * 5) = 2w + -5 (15 + 5w) = 2w + -5 Reorder the terms: 15 + 5w = -5 + 2w Solving 15 + 5w = -5 + 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. 15 + 5w + -2w = -5 + 2w + -2w Combine like terms: 5w + -2w = 3w 15 + 3w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + 3w = -5 + 0 15 + 3w = -5 Add '-15' to each side of the equation. 15 + -15 + 3w = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = -5 + -15 3w = -5 + -15 Combine like terms: -5 + -15 = -20 3w = -20 Divide each side by '3'. w = -6.666666667 Simplifying w = -6.666666667
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