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Simplifying 5w + -12 = 8w + 24 Reorder the terms: -12 + 5w = 8w + 24 Reorder the terms: -12 + 5w = 24 + 8w Solving -12 + 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. -12 + 5w + -8w = 24 + 8w + -8w Combine like terms: 5w + -8w = -3w -12 + -3w = 24 + 8w + -8w Combine like terms: 8w + -8w = 0 -12 + -3w = 24 + 0 -12 + -3w = 24 Add '12' to each side of the equation. -12 + 12 + -3w = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -3w = 24 + 12 -3w = 24 + 12 Combine like terms: 24 + 12 = 36 -3w = 36 Divide each side by '-3'. w = -12 Simplifying w = -12
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