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Simplifying 5(2w + 4) = 7w + -7 Reorder the terms: 5(4 + 2w) = 7w + -7 (4 * 5 + 2w * 5) = 7w + -7 (20 + 10w) = 7w + -7 Reorder the terms: 20 + 10w = -7 + 7w Solving 20 + 10w = -7 + 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. 20 + 10w + -7w = -7 + 7w + -7w Combine like terms: 10w + -7w = 3w 20 + 3w = -7 + 7w + -7w Combine like terms: 7w + -7w = 0 20 + 3w = -7 + 0 20 + 3w = -7 Add '-20' to each side of the equation. 20 + -20 + 3w = -7 + -20 Combine like terms: 20 + -20 = 0 0 + 3w = -7 + -20 3w = -7 + -20 Combine like terms: -7 + -20 = -27 3w = -27 Divide each side by '3'. w = -9 Simplifying w = -9
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