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Simplifying 3(w + 8) = -7w + 44 Reorder the terms: 3(8 + w) = -7w + 44 (8 * 3 + w * 3) = -7w + 44 (24 + 3w) = -7w + 44 Reorder the terms: 24 + 3w = 44 + -7w Solving 24 + 3w = 44 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 24 + 3w + 7w = 44 + -7w + 7w Combine like terms: 3w + 7w = 10w 24 + 10w = 44 + -7w + 7w Combine like terms: -7w + 7w = 0 24 + 10w = 44 + 0 24 + 10w = 44 Add '-24' to each side of the equation. 24 + -24 + 10w = 44 + -24 Combine like terms: 24 + -24 = 0 0 + 10w = 44 + -24 10w = 44 + -24 Combine like terms: 44 + -24 = 20 10w = 20 Divide each side by '10'. w = 2 Simplifying w = 2
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