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Simplifying 3(u + -7) + -6 = -2(-8u + 6) + -1u Reorder the terms: 3(-7 + u) + -6 = -2(-8u + 6) + -1u (-7 * 3 + u * 3) + -6 = -2(-8u + 6) + -1u (-21 + 3u) + -6 = -2(-8u + 6) + -1u Reorder the terms: -21 + -6 + 3u = -2(-8u + 6) + -1u Combine like terms: -21 + -6 = -27 -27 + 3u = -2(-8u + 6) + -1u Reorder the terms: -27 + 3u = -2(6 + -8u) + -1u -27 + 3u = (6 * -2 + -8u * -2) + -1u -27 + 3u = (-12 + 16u) + -1u Combine like terms: 16u + -1u = 15u -27 + 3u = -12 + 15u Solving -27 + 3u = -12 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -27 + 3u + -15u = -12 + 15u + -15u Combine like terms: 3u + -15u = -12u -27 + -12u = -12 + 15u + -15u Combine like terms: 15u + -15u = 0 -27 + -12u = -12 + 0 -27 + -12u = -12 Add '27' to each side of the equation. -27 + 27 + -12u = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -12u = -12 + 27 -12u = -12 + 27 Combine like terms: -12 + 27 = 15 -12u = 15 Divide each side by '-12'. u = -1.25 Simplifying u = -1.25
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