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Simplifying 7(3w + 8) = -9 Reorder the terms: 7(8 + 3w) = -9 (8 * 7 + 3w * 7) = -9 (56 + 21w) = -9 Solving 56 + 21w = -9 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 + 21w = -9 + -56 Combine like terms: 56 + -56 = 0 0 + 21w = -9 + -56 21w = -9 + -56 Combine like terms: -9 + -56 = -65 21w = -65 Divide each side by '21'. w = -3.095238095 Simplifying w = -3.095238095
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