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Simplifying 8w + 20 + 2w = 7w + 49 + -20 Reorder the terms: 20 + 8w + 2w = 7w + 49 + -20 Combine like terms: 8w + 2w = 10w 20 + 10w = 7w + 49 + -20 Reorder the terms: 20 + 10w = 49 + -20 + 7w Combine like terms: 49 + -20 = 29 20 + 10w = 29 + 7w Solving 20 + 10w = 29 + 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 = 29 + 7w + -7w Combine like terms: 10w + -7w = 3w 20 + 3w = 29 + 7w + -7w Combine like terms: 7w + -7w = 0 20 + 3w = 29 + 0 20 + 3w = 29 Add '-20' to each side of the equation. 20 + -20 + 3w = 29 + -20 Combine like terms: 20 + -20 = 0 0 + 3w = 29 + -20 3w = 29 + -20 Combine like terms: 29 + -20 = 9 3w = 9 Divide each side by '3'. w = 3 Simplifying w = 3
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