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Simplifying 15 = -5(3 + w) + 7 15 = (3 * -5 + w * -5) + 7 15 = (-15 + -5w) + 7 Reorder the terms: 15 = -15 + 7 + -5w Combine like terms: -15 + 7 = -8 15 = -8 + -5w Solving 15 = -8 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 15 + 5w = -8 + -5w + 5w Combine like terms: -5w + 5w = 0 15 + 5w = -8 + 0 15 + 5w = -8 Add '-15' to each side of the equation. 15 + -15 + 5w = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 5w = -8 + -15 5w = -8 + -15 Combine like terms: -8 + -15 = -23 5w = -23 Divide each side by '5'. w = -4.6 Simplifying w = -4.6
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