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Simplifying 5w + 15 = 2w + -8 Reorder the terms: 15 + 5w = 2w + -8 Reorder the terms: 15 + 5w = -8 + 2w Solving 15 + 5w = -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 + 5w + -2w = -8 + 2w + -2w Combine like terms: 5w + -2w = 3w 15 + 3w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 15 + 3w = -8 + 0 15 + 3w = -8 Add '-15' to each side of the equation. 15 + -15 + 3w = -8 + -15 Combine like terms: 15 + -15 = 0 0 + 3w = -8 + -15 3w = -8 + -15 Combine like terms: -8 + -15 = -23 3w = -23 Divide each side by '3'. w = -7.666666667 Simplifying w = -7.666666667
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