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Simplifying (3w + 7) + (7w + 8) = 0 Reorder the terms: (7 + 3w) + (7w + 8) = 0 Remove parenthesis around (7 + 3w) 7 + 3w + (7w + 8) = 0 Reorder the terms: 7 + 3w + (8 + 7w) = 0 Remove parenthesis around (8 + 7w) 7 + 3w + 8 + 7w = 0 Reorder the terms: 7 + 8 + 3w + 7w = 0 Combine like terms: 7 + 8 = 15 15 + 3w + 7w = 0 Combine like terms: 3w + 7w = 10w 15 + 10w = 0 Solving 15 + 10w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 10w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 10w = 0 + -15 10w = 0 + -15 Combine like terms: 0 + -15 = -15 10w = -15 Divide each side by '10'. w = -1.5 Simplifying w = -1.5
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