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Simplifying 46 = -6w + -17 Reorder the terms: 46 = -17 + -6w Solving 46 = -17 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 46 + 6w = -17 + -6w + 6w Combine like terms: -6w + 6w = 0 46 + 6w = -17 + 0 46 + 6w = -17 Add '-46' to each side of the equation. 46 + -46 + 6w = -17 + -46 Combine like terms: 46 + -46 = 0 0 + 6w = -17 + -46 6w = -17 + -46 Combine like terms: -17 + -46 = -63 6w = -63 Divide each side by '6'. w = -10.5 Simplifying w = -10.5
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