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Simplifying 5w + 7 + -8w = 15 + -4w Reorder the terms: 7 + 5w + -8w = 15 + -4w Combine like terms: 5w + -8w = -3w 7 + -3w = 15 + -4w Solving 7 + -3w = 15 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 7 + -3w + 4w = 15 + -4w + 4w Combine like terms: -3w + 4w = 1w 7 + 1w = 15 + -4w + 4w Combine like terms: -4w + 4w = 0 7 + 1w = 15 + 0 7 + 1w = 15 Add '-7' to each side of the equation. 7 + -7 + 1w = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 15 + -7 1w = 15 + -7 Combine like terms: 15 + -7 = 8 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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