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Simplifying 18 + -5(w + 3) = -2(5w + 1) + 15 Reorder the terms: 18 + -5(3 + w) = -2(5w + 1) + 15 18 + (3 * -5 + w * -5) = -2(5w + 1) + 15 18 + (-15 + -5w) = -2(5w + 1) + 15 Combine like terms: 18 + -15 = 3 3 + -5w = -2(5w + 1) + 15 Reorder the terms: 3 + -5w = -2(1 + 5w) + 15 3 + -5w = (1 * -2 + 5w * -2) + 15 3 + -5w = (-2 + -10w) + 15 Reorder the terms: 3 + -5w = -2 + 15 + -10w Combine like terms: -2 + 15 = 13 3 + -5w = 13 + -10w Solving 3 + -5w = 13 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 3 + -5w + 10w = 13 + -10w + 10w Combine like terms: -5w + 10w = 5w 3 + 5w = 13 + -10w + 10w Combine like terms: -10w + 10w = 0 3 + 5w = 13 + 0 3 + 5w = 13 Add '-3' to each side of the equation. 3 + -3 + 5w = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 13 + -3 5w = 13 + -3 Combine like terms: 13 + -3 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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