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Simplifying 7(w + 8) = 3w + 24 Reorder the terms: 7(8 + w) = 3w + 24 (8 * 7 + w * 7) = 3w + 24 (56 + 7w) = 3w + 24 Reorder the terms: 56 + 7w = 24 + 3w Solving 56 + 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. 56 + 7w + -3w = 24 + 3w + -3w Combine like terms: 7w + -3w = 4w 56 + 4w = 24 + 3w + -3w Combine like terms: 3w + -3w = 0 56 + 4w = 24 + 0 56 + 4w = 24 Add '-56' to each side of the equation. 56 + -56 + 4w = 24 + -56 Combine like terms: 56 + -56 = 0 0 + 4w = 24 + -56 4w = 24 + -56 Combine like terms: 24 + -56 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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