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Simplifying 5(w + 15) + 12 = 15w + 23 Reorder the terms: 5(15 + w) + 12 = 15w + 23 (15 * 5 + w * 5) + 12 = 15w + 23 (75 + 5w) + 12 = 15w + 23 Reorder the terms: 75 + 12 + 5w = 15w + 23 Combine like terms: 75 + 12 = 87 87 + 5w = 15w + 23 Reorder the terms: 87 + 5w = 23 + 15w Solving 87 + 5w = 23 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 87 + 5w + -15w = 23 + 15w + -15w Combine like terms: 5w + -15w = -10w 87 + -10w = 23 + 15w + -15w Combine like terms: 15w + -15w = 0 87 + -10w = 23 + 0 87 + -10w = 23 Add '-87' to each side of the equation. 87 + -87 + -10w = 23 + -87 Combine like terms: 87 + -87 = 0 0 + -10w = 23 + -87 -10w = 23 + -87 Combine like terms: 23 + -87 = -64 -10w = -64 Divide each side by '-10'. w = 6.4 Simplifying w = 6.4
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