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Simplifying 17w + -46 = 61w + -2 Reorder the terms: -46 + 17w = 61w + -2 Reorder the terms: -46 + 17w = -2 + 61w Solving -46 + 17w = -2 + 61w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-61w' to each side of the equation. -46 + 17w + -61w = -2 + 61w + -61w Combine like terms: 17w + -61w = -44w -46 + -44w = -2 + 61w + -61w Combine like terms: 61w + -61w = 0 -46 + -44w = -2 + 0 -46 + -44w = -2 Add '46' to each side of the equation. -46 + 46 + -44w = -2 + 46 Combine like terms: -46 + 46 = 0 0 + -44w = -2 + 46 -44w = -2 + 46 Combine like terms: -2 + 46 = 44 -44w = 44 Divide each side by '-44'. w = -1 Simplifying w = -1
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