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Simplifying 3w + 15 + -5 = -2w + 5 Reorder the terms: 15 + -5 + 3w = -2w + 5 Combine like terms: 15 + -5 = 10 10 + 3w = -2w + 5 Reorder the terms: 10 + 3w = 5 + -2w Solving 10 + 3w = 5 + -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. 10 + 3w + 2w = 5 + -2w + 2w Combine like terms: 3w + 2w = 5w 10 + 5w = 5 + -2w + 2w Combine like terms: -2w + 2w = 0 10 + 5w = 5 + 0 10 + 5w = 5 Add '-10' to each side of the equation. 10 + -10 + 5w = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 5w = 5 + -10 5w = 5 + -10 Combine like terms: 5 + -10 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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