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Simplifying 46 = 4w + -14 Reorder the terms: 46 = -14 + 4w Solving 46 = -14 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 46 + -4w = -14 + 4w + -4w Combine like terms: 4w + -4w = 0 46 + -4w = -14 + 0 46 + -4w = -14 Add '-46' to each side of the equation. 46 + -46 + -4w = -14 + -46 Combine like terms: 46 + -46 = 0 0 + -4w = -14 + -46 -4w = -14 + -46 Combine like terms: -14 + -46 = -60 -4w = -60 Divide each side by '-4'. w = 15 Simplifying w = 15
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