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Simplifying 5(w + -2) + -7 = 23 Reorder the terms: 5(-2 + w) + -7 = 23 (-2 * 5 + w * 5) + -7 = 23 (-10 + 5w) + -7 = 23 Reorder the terms: -10 + -7 + 5w = 23 Combine like terms: -10 + -7 = -17 -17 + 5w = 23 Solving -17 + 5w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5w = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 5w = 23 + 17 5w = 23 + 17 Combine like terms: 23 + 17 = 40 5w = 40 Divide each side by '5'. w = 8 Simplifying w = 8
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