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Simplifying 46 = 6w + -24 Reorder the terms: 46 = -24 + 6w Solving 46 = -24 + 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 = -24 + 6w + -6w Combine like terms: 6w + -6w = 0 46 + -6w = -24 + 0 46 + -6w = -24 Add '-46' to each side of the equation. 46 + -46 + -6w = -24 + -46 Combine like terms: 46 + -46 = 0 0 + -6w = -24 + -46 -6w = -24 + -46 Combine like terms: -24 + -46 = -70 -6w = -70 Divide each side by '-6'. w = 11.66666667 Simplifying w = 11.66666667
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