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Simplifying 7(w + 8) = 32 + 4w Reorder the terms: 7(8 + w) = 32 + 4w (8 * 7 + w * 7) = 32 + 4w (56 + 7w) = 32 + 4w Solving 56 + 7w = 32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 56 + 7w + -4w = 32 + 4w + -4w Combine like terms: 7w + -4w = 3w 56 + 3w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 56 + 3w = 32 + 0 56 + 3w = 32 Add '-56' to each side of the equation. 56 + -56 + 3w = 32 + -56 Combine like terms: 56 + -56 = 0 0 + 3w = 32 + -56 3w = 32 + -56 Combine like terms: 32 + -56 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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