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Simplifying 5(u + 2) = -2(5u + -2) + 7u Reorder the terms: 5(2 + u) = -2(5u + -2) + 7u (2 * 5 + u * 5) = -2(5u + -2) + 7u (10 + 5u) = -2(5u + -2) + 7u Reorder the terms: 10 + 5u = -2(-2 + 5u) + 7u 10 + 5u = (-2 * -2 + 5u * -2) + 7u 10 + 5u = (4 + -10u) + 7u Combine like terms: -10u + 7u = -3u 10 + 5u = 4 + -3u Solving 10 + 5u = 4 + -3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '3u' to each side of the equation. 10 + 5u + 3u = 4 + -3u + 3u Combine like terms: 5u + 3u = 8u 10 + 8u = 4 + -3u + 3u Combine like terms: -3u + 3u = 0 10 + 8u = 4 + 0 10 + 8u = 4 Add '-10' to each side of the equation. 10 + -10 + 8u = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 8u = 4 + -10 8u = 4 + -10 Combine like terms: 4 + -10 = -6 8u = -6 Divide each side by '8'. u = -0.75 Simplifying u = -0.75
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