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Simplifying 15 + -2w = -3w + 8 Reorder the terms: 15 + -2w = 8 + -3w Solving 15 + -2w = 8 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 15 + -2w + 3w = 8 + -3w + 3w Combine like terms: -2w + 3w = 1w 15 + 1w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 15 + 1w = 8 + 0 15 + 1w = 8 Add '-15' to each side of the equation. 15 + -15 + 1w = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1w = 8 + -15 1w = 8 + -15 Combine like terms: 8 + -15 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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