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Simplifying 7(u + 8) = -6(2u + -9) + 3u Reorder the terms: 7(8 + u) = -6(2u + -9) + 3u (8 * 7 + u * 7) = -6(2u + -9) + 3u (56 + 7u) = -6(2u + -9) + 3u Reorder the terms: 56 + 7u = -6(-9 + 2u) + 3u 56 + 7u = (-9 * -6 + 2u * -6) + 3u 56 + 7u = (54 + -12u) + 3u Combine like terms: -12u + 3u = -9u 56 + 7u = 54 + -9u Solving 56 + 7u = 54 + -9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '9u' to each side of the equation. 56 + 7u + 9u = 54 + -9u + 9u Combine like terms: 7u + 9u = 16u 56 + 16u = 54 + -9u + 9u Combine like terms: -9u + 9u = 0 56 + 16u = 54 + 0 56 + 16u = 54 Add '-56' to each side of the equation. 56 + -56 + 16u = 54 + -56 Combine like terms: 56 + -56 = 0 0 + 16u = 54 + -56 16u = 54 + -56 Combine like terms: 54 + -56 = -2 16u = -2 Divide each side by '16'. u = -0.125 Simplifying u = -0.125
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