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Simplifying 3w + -15 + -4w + 24 = -1 + 9 Reorder the terms: -15 + 24 + 3w + -4w = -1 + 9 Combine like terms: -15 + 24 = 9 9 + 3w + -4w = -1 + 9 Combine like terms: 3w + -4w = -1w 9 + -1w = -1 + 9 Combine like terms: -1 + 9 = 8 9 + -1w = 8 Solving 9 + -1w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1w = 8 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 8 + -9 -1w = 8 + -9 Combine like terms: 8 + -9 = -1 -1w = -1 Divide each side by '-1'. w = 1 Simplifying w = 1
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