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Simplifying 3w + 10 = -3 + 8w + -9w Reorder the terms: 10 + 3w = -3 + 8w + -9w Combine like terms: 8w + -9w = -1w 10 + 3w = -3 + -1w Solving 10 + 3w = -3 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 10 + 3w + w = -3 + -1w + w Combine like terms: 3w + w = 4w 10 + 4w = -3 + -1w + w Combine like terms: -1w + w = 0 10 + 4w = -3 + 0 10 + 4w = -3 Add '-10' to each side of the equation. 10 + -10 + 4w = -3 + -10 Combine like terms: 10 + -10 = 0 0 + 4w = -3 + -10 4w = -3 + -10 Combine like terms: -3 + -10 = -13 4w = -13 Divide each side by '4'. w = -3.25 Simplifying w = -3.25
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