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Simplifying 2(w + 5) = 7w + -30 Reorder the terms: 2(5 + w) = 7w + -30 (5 * 2 + w * 2) = 7w + -30 (10 + 2w) = 7w + -30 Reorder the terms: 10 + 2w = -30 + 7w Solving 10 + 2w = -30 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 10 + 2w + -7w = -30 + 7w + -7w Combine like terms: 2w + -7w = -5w 10 + -5w = -30 + 7w + -7w Combine like terms: 7w + -7w = 0 10 + -5w = -30 + 0 10 + -5w = -30 Add '-10' to each side of the equation. 10 + -10 + -5w = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -5w = -30 + -10 -5w = -30 + -10 Combine like terms: -30 + -10 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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