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Simplifying 6w + 46 = -8(w + -4) Reorder the terms: 46 + 6w = -8(w + -4) Reorder the terms: 46 + 6w = -8(-4 + w) 46 + 6w = (-4 * -8 + w * -8) 46 + 6w = (32 + -8w) Solving 46 + 6w = 32 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 46 + 6w + 8w = 32 + -8w + 8w Combine like terms: 6w + 8w = 14w 46 + 14w = 32 + -8w + 8w Combine like terms: -8w + 8w = 0 46 + 14w = 32 + 0 46 + 14w = 32 Add '-46' to each side of the equation. 46 + -46 + 14w = 32 + -46 Combine like terms: 46 + -46 = 0 0 + 14w = 32 + -46 14w = 32 + -46 Combine like terms: 32 + -46 = -14 14w = -14 Divide each side by '14'. w = -1 Simplifying w = -1
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