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Simplifying -3(5u + -1) + 8u = 9 + 2(4u + -6) Reorder the terms: -3(-1 + 5u) + 8u = 9 + 2(4u + -6) (-1 * -3 + 5u * -3) + 8u = 9 + 2(4u + -6) (3 + -15u) + 8u = 9 + 2(4u + -6) Combine like terms: -15u + 8u = -7u 3 + -7u = 9 + 2(4u + -6) Reorder the terms: 3 + -7u = 9 + 2(-6 + 4u) 3 + -7u = 9 + (-6 * 2 + 4u * 2) 3 + -7u = 9 + (-12 + 8u) Combine like terms: 9 + -12 = -3 3 + -7u = -3 + 8u Solving 3 + -7u = -3 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 3 + -7u + -8u = -3 + 8u + -8u Combine like terms: -7u + -8u = -15u 3 + -15u = -3 + 8u + -8u Combine like terms: 8u + -8u = 0 3 + -15u = -3 + 0 3 + -15u = -3 Add '-3' to each side of the equation. 3 + -3 + -15u = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -15u = -3 + -3 -15u = -3 + -3 Combine like terms: -3 + -3 = -6 -15u = -6 Divide each side by '-15'. u = 0.4 Simplifying u = 0.4
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