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Simplifying 2w + 9 = 3w + -1 Reorder the terms: 9 + 2w = 3w + -1 Reorder the terms: 9 + 2w = -1 + 3w Solving 9 + 2w = -1 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 9 + 2w + -3w = -1 + 3w + -3w Combine like terms: 2w + -3w = -1w 9 + -1w = -1 + 3w + -3w Combine like terms: 3w + -3w = 0 9 + -1w = -1 + 0 9 + -1w = -1 Add '-9' to each side of the equation. 9 + -9 + -1w = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = -1 + -9 -1w = -1 + -9 Combine like terms: -1 + -9 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10
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