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Simplifying 2w + -5 = 3w + 9 Reorder the terms: -5 + 2w = 3w + 9 Reorder the terms: -5 + 2w = 9 + 3w Solving -5 + 2w = 9 + 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. -5 + 2w + -3w = 9 + 3w + -3w Combine like terms: 2w + -3w = -1w -5 + -1w = 9 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -1w = 9 + 0 -5 + -1w = 9 Add '5' to each side of the equation. -5 + 5 + -1w = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -1w = 9 + 5 -1w = 9 + 5 Combine like terms: 9 + 5 = 14 -1w = 14 Divide each side by '-1'. w = -14 Simplifying w = -14
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