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Simplifying 5w + 24 = 3w + 6w + -48 Reorder the terms: 24 + 5w = 3w + 6w + -48 Reorder the terms: 24 + 5w = -48 + 3w + 6w Combine like terms: 3w + 6w = 9w 24 + 5w = -48 + 9w Solving 24 + 5w = -48 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 24 + 5w + -9w = -48 + 9w + -9w Combine like terms: 5w + -9w = -4w 24 + -4w = -48 + 9w + -9w Combine like terms: 9w + -9w = 0 24 + -4w = -48 + 0 24 + -4w = -48 Add '-24' to each side of the equation. 24 + -24 + -4w = -48 + -24 Combine like terms: 24 + -24 = 0 0 + -4w = -48 + -24 -4w = -48 + -24 Combine like terms: -48 + -24 = -72 -4w = -72 Divide each side by '-4'. w = 18 Simplifying w = 18
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