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Simplifying 30 = -8w + 3(w + -5) Reorder the terms: 30 = -8w + 3(-5 + w) 30 = -8w + (-5 * 3 + w * 3) 30 = -8w + (-15 + 3w) Reorder the terms: 30 = -15 + -8w + 3w Combine like terms: -8w + 3w = -5w 30 = -15 + -5w Solving 30 = -15 + -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. 30 + 5w = -15 + -5w + 5w Combine like terms: -5w + 5w = 0 30 + 5w = -15 + 0 30 + 5w = -15 Add '-30' to each side of the equation. 30 + -30 + 5w = -15 + -30 Combine like terms: 30 + -30 = 0 0 + 5w = -15 + -30 5w = -15 + -30 Combine like terms: -15 + -30 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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