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Simplifying 8(4w + 7) = -2 Reorder the terms: 8(7 + 4w) = -2 (7 * 8 + 4w * 8) = -2 (56 + 32w) = -2 Solving 56 + 32w = -2 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 + 32w = -2 + -56 Combine like terms: 56 + -56 = 0 0 + 32w = -2 + -56 32w = -2 + -56 Combine like terms: -2 + -56 = -58 32w = -58 Divide each side by '32'. w = -1.8125 Simplifying w = -1.8125
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