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Simplifying 2(u + -1) + -5 = -3(-6u + 7) + -8u Reorder the terms: 2(-1 + u) + -5 = -3(-6u + 7) + -8u (-1 * 2 + u * 2) + -5 = -3(-6u + 7) + -8u (-2 + 2u) + -5 = -3(-6u + 7) + -8u Reorder the terms: -2 + -5 + 2u = -3(-6u + 7) + -8u Combine like terms: -2 + -5 = -7 -7 + 2u = -3(-6u + 7) + -8u Reorder the terms: -7 + 2u = -3(7 + -6u) + -8u -7 + 2u = (7 * -3 + -6u * -3) + -8u -7 + 2u = (-21 + 18u) + -8u Combine like terms: 18u + -8u = 10u -7 + 2u = -21 + 10u Solving -7 + 2u = -21 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -7 + 2u + -10u = -21 + 10u + -10u Combine like terms: 2u + -10u = -8u -7 + -8u = -21 + 10u + -10u Combine like terms: 10u + -10u = 0 -7 + -8u = -21 + 0 -7 + -8u = -21 Add '7' to each side of the equation. -7 + 7 + -8u = -21 + 7 Combine like terms: -7 + 7 = 0 0 + -8u = -21 + 7 -8u = -21 + 7 Combine like terms: -21 + 7 = -14 -8u = -14 Divide each side by '-8'. u = 1.75 Simplifying u = 1.75
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