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