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Simplifying 7w + 46 = -3(w + 8) Reorder the terms: 46 + 7w = -3(w + 8) Reorder the terms: 46 + 7w = -3(8 + w) 46 + 7w = (8 * -3 + w * -3) 46 + 7w = (-24 + -3w) Solving 46 + 7w = -24 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 46 + 7w + 3w = -24 + -3w + 3w Combine like terms: 7w + 3w = 10w 46 + 10w = -24 + -3w + 3w Combine like terms: -3w + 3w = 0 46 + 10w = -24 + 0 46 + 10w = -24 Add '-46' to each side of the equation. 46 + -46 + 10w = -24 + -46 Combine like terms: 46 + -46 = 0 0 + 10w = -24 + -46 10w = -24 + -46 Combine like terms: -24 + -46 = -70 10w = -70 Divide each side by '10'. w = -7 Simplifying w = -7
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