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Simplifying 7(4w + 1) = -2 Reorder the terms: 7(1 + 4w) = -2 (1 * 7 + 4w * 7) = -2 (7 + 28w) = -2 Solving 7 + 28w = -2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 28w = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 28w = -2 + -7 28w = -2 + -7 Combine like terms: -2 + -7 = -9 28w = -9 Divide each side by '28'. w = -0.3214285714 Simplifying w = -0.3214285714
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