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Simplifying 5(u + 6) = -4(2u + -7) + 5u Reorder the terms: 5(6 + u) = -4(2u + -7) + 5u (6 * 5 + u * 5) = -4(2u + -7) + 5u (30 + 5u) = -4(2u + -7) + 5u Reorder the terms: 30 + 5u = -4(-7 + 2u) + 5u 30 + 5u = (-7 * -4 + 2u * -4) + 5u 30 + 5u = (28 + -8u) + 5u Combine like terms: -8u + 5u = -3u 30 + 5u = 28 + -3u Solving 30 + 5u = 28 + -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. 30 + 5u + 3u = 28 + -3u + 3u Combine like terms: 5u + 3u = 8u 30 + 8u = 28 + -3u + 3u Combine like terms: -3u + 3u = 0 30 + 8u = 28 + 0 30 + 8u = 28 Add '-30' to each side of the equation. 30 + -30 + 8u = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 8u = 28 + -30 8u = 28 + -30 Combine like terms: 28 + -30 = -2 8u = -2 Divide each side by '8'. u = -0.25 Simplifying u = -0.25
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