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Simplifying 3w + -24 = 1w + -17 Reorder the terms: -24 + 3w = 1w + -17 Reorder the terms: -24 + 3w = -17 + 1w Solving -24 + 3w = -17 + 1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -24 + 3w + -1w = -17 + 1w + -1w Combine like terms: 3w + -1w = 2w -24 + 2w = -17 + 1w + -1w Combine like terms: 1w + -1w = 0 -24 + 2w = -17 + 0 -24 + 2w = -17 Add '24' to each side of the equation. -24 + 24 + 2w = -17 + 24 Combine like terms: -24 + 24 = 0 0 + 2w = -17 + 24 2w = -17 + 24 Combine like terms: -17 + 24 = 7 2w = 7 Divide each side by '2'. w = 3.5 Simplifying w = 3.5
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