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Simplifying 7(4w + 8) = 1 Reorder the terms: 7(8 + 4w) = 1 (8 * 7 + 4w * 7) = 1 (56 + 28w) = 1 Solving 56 + 28w = 1 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 28w = 1 + -56 Combine like terms: 56 + -56 = 0 0 + 28w = 1 + -56 28w = 1 + -56 Combine like terms: 1 + -56 = -55 28w = -55 Divide each side by '28'. w = -1.964285714 Simplifying w = -1.964285714
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