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Simplifying 2w + 14 = -1w + 32 Reorder the terms: 14 + 2w = -1w + 32 Reorder the terms: 14 + 2w = 32 + -1w Solving 14 + 2w = 32 + -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. 14 + 2w + w = 32 + -1w + w Combine like terms: 2w + w = 3w 14 + 3w = 32 + -1w + w Combine like terms: -1w + w = 0 14 + 3w = 32 + 0 14 + 3w = 32 Add '-14' to each side of the equation. 14 + -14 + 3w = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 3w = 32 + -14 3w = 32 + -14 Combine like terms: 32 + -14 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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