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Simplifying 15 = w + -3w + 8 Reorder the terms: 15 = 8 + w + -3w Combine like terms: w + -3w = -2w 15 = 8 + -2w Solving 15 = 8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 15 + 2w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 15 + 2w = 8 + 0 15 + 2w = 8 Add '-15' to each side of the equation. 15 + -15 + 2w = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 2w = 8 + -15 2w = 8 + -15 Combine like terms: 8 + -15 = -7 2w = -7 Divide each side by '2'. w = -3.5 Simplifying w = -3.5
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