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Simplifying 5w + -15 = 8w + -24 Reorder the terms: -15 + 5w = 8w + -24 Reorder the terms: -15 + 5w = -24 + 8w Solving -15 + 5w = -24 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -15 + 5w + -8w = -24 + 8w + -8w Combine like terms: 5w + -8w = -3w -15 + -3w = -24 + 8w + -8w Combine like terms: 8w + -8w = 0 -15 + -3w = -24 + 0 -15 + -3w = -24 Add '15' to each side of the equation. -15 + 15 + -3w = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -3w = -24 + 15 -3w = -24 + 15 Combine like terms: -24 + 15 = -9 -3w = -9 Divide each side by '-3'. w = 3 Simplifying w = 3
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