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Simplifying 8(4w + 1) = -10 Reorder the terms: 8(1 + 4w) = -10 (1 * 8 + 4w * 8) = -10 (8 + 32w) = -10 Solving 8 + 32w = -10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 32w = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 32w = -10 + -8 32w = -10 + -8 Combine like terms: -10 + -8 = -18 32w = -18 Divide each side by '32'. w = -0.5625 Simplifying w = -0.5625
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