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Simplifying 7(4w + 8) + -2w = 0 Reorder the terms: 7(8 + 4w) + -2w = 0 (8 * 7 + 4w * 7) + -2w = 0 (56 + 28w) + -2w = 0 Combine like terms: 28w + -2w = 26w 56 + 26w = 0 Solving 56 + 26w = 0 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 + 26w = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 26w = 0 + -56 26w = 0 + -56 Combine like terms: 0 + -56 = -56 26w = -56 Divide each side by '26'. w = -2.153846154 Simplifying w = -2.153846154
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