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Simplifying 3(u + -6) + -5 = -3(-6u + 7) + -3u Reorder the terms: 3(-6 + u) + -5 = -3(-6u + 7) + -3u (-6 * 3 + u * 3) + -5 = -3(-6u + 7) + -3u (-18 + 3u) + -5 = -3(-6u + 7) + -3u Reorder the terms: -18 + -5 + 3u = -3(-6u + 7) + -3u Combine like terms: -18 + -5 = -23 -23 + 3u = -3(-6u + 7) + -3u Reorder the terms: -23 + 3u = -3(7 + -6u) + -3u -23 + 3u = (7 * -3 + -6u * -3) + -3u -23 + 3u = (-21 + 18u) + -3u Combine like terms: 18u + -3u = 15u -23 + 3u = -21 + 15u Solving -23 + 3u = -21 + 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. -23 + 3u + -15u = -21 + 15u + -15u Combine like terms: 3u + -15u = -12u -23 + -12u = -21 + 15u + -15u Combine like terms: 15u + -15u = 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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