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Simplifying 7(4w + 7) = 8 Reorder the terms: 7(7 + 4w) = 8 (7 * 7 + 4w * 7) = 8 (49 + 28w) = 8 Solving 49 + 28w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 28w = 8 + -49 Combine like terms: 49 + -49 = 0 0 + 28w = 8 + -49 28w = 8 + -49 Combine like terms: 8 + -49 = -41 28w = -41 Divide each side by '28'. w = -1.464285714 Simplifying w = -1.464285714
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