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Simplifying -3(-6u + 5) + -1u = 7(u + -4) + -3 Reorder the terms: -3(5 + -6u) + -1u = 7(u + -4) + -3 (5 * -3 + -6u * -3) + -1u = 7(u + -4) + -3 (-15 + 18u) + -1u = 7(u + -4) + -3 Combine like terms: 18u + -1u = 17u -15 + 17u = 7(u + -4) + -3 Reorder the terms: -15 + 17u = 7(-4 + u) + -3 -15 + 17u = (-4 * 7 + u * 7) + -3 -15 + 17u = (-28 + 7u) + -3 Reorder the terms: -15 + 17u = -28 + -3 + 7u Combine like terms: -28 + -3 = -31 -15 + 17u = -31 + 7u Solving -15 + 17u = -31 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -15 + 17u + -7u = -31 + 7u + -7u Combine like terms: 17u + -7u = 10u -15 + 10u = -31 + 7u + -7u Combine like terms: 7u + -7u = 0 -15 + 10u = -31 + 0 -15 + 10u = -31 Add '15' to each side of the equation. -15 + 15 + 10u = -31 + 15 Combine like terms: -15 + 15 = 0 0 + 10u = -31 + 15 10u = -31 + 15 Combine like terms: -31 + 15 = -16 10u = -16 Divide each side by '10'. u = -1.6 Simplifying u = -1.6
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