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Simplifying 2(u + -8) + -7 = -3(-5u + 7) + -1u Reorder the terms: 2(-8 + u) + -7 = -3(-5u + 7) + -1u (-8 * 2 + u * 2) + -7 = -3(-5u + 7) + -1u (-16 + 2u) + -7 = -3(-5u + 7) + -1u Reorder the terms: -16 + -7 + 2u = -3(-5u + 7) + -1u Combine like terms: -16 + -7 = -23 -23 + 2u = -3(-5u + 7) + -1u Reorder the terms: -23 + 2u = -3(7 + -5u) + -1u -23 + 2u = (7 * -3 + -5u * -3) + -1u -23 + 2u = (-21 + 15u) + -1u Combine like terms: 15u + -1u = 14u -23 + 2u = -21 + 14u Solving -23 + 2u = -21 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -23 + 2u + -14u = -21 + 14u + -14u Combine like terms: 2u + -14u = -12u -23 + -12u = -21 + 14u + -14u Combine like terms: 14u + -14u = 0 -23 + -12u = -21 + 0 -23 + -12u = -21 Add '23' to each side of the equation. -23 + 23 + -12u = -21 + 23 Combine like terms: -23 + 23 = 0 0 + -12u = -21 + 23 -12u = -21 + 23 Combine like terms: -21 + 23 = 2 -12u = 2 Divide each side by '-12'. u = -0.1666666667 Simplifying u = -0.1666666667
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