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Simplifying 46 = 4w + 10 Reorder the terms: 46 = 10 + 4w Solving 46 = 10 + 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 = 10 + 4w + -4w Combine like terms: 4w + -4w = 0 46 + -4w = 10 + 0 46 + -4w = 10 Add '-46' to each side of the equation. 46 + -46 + -4w = 10 + -46 Combine like terms: 46 + -46 = 0 0 + -4w = 10 + -46 -4w = 10 + -46 Combine like terms: 10 + -46 = -36 -4w = -36 Divide each side by '-4'. w = 9 Simplifying w = 9
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