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Simplifying 3w + -24 = 8w + -114 Reorder the terms: -24 + 3w = 8w + -114 Reorder the terms: -24 + 3w = -114 + 8w Solving -24 + 3w = -114 + 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. -24 + 3w + -8w = -114 + 8w + -8w Combine like terms: 3w + -8w = -5w -24 + -5w = -114 + 8w + -8w Combine like terms: 8w + -8w = 0 -24 + -5w = -114 + 0 -24 + -5w = -114 Add '24' to each side of the equation. -24 + 24 + -5w = -114 + 24 Combine like terms: -24 + 24 = 0 0 + -5w = -114 + 24 -5w = -114 + 24 Combine like terms: -114 + 24 = -90 -5w = -90 Divide each side by '-5'. w = 18 Simplifying w = 18
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