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Simplifying 3(u + -1) + -6 = -6(-3u + 4) + -3u Reorder the terms: 3(-1 + u) + -6 = -6(-3u + 4) + -3u (-1 * 3 + u * 3) + -6 = -6(-3u + 4) + -3u (-3 + 3u) + -6 = -6(-3u + 4) + -3u Reorder the terms: -3 + -6 + 3u = -6(-3u + 4) + -3u Combine like terms: -3 + -6 = -9 -9 + 3u = -6(-3u + 4) + -3u Reorder the terms: -9 + 3u = -6(4 + -3u) + -3u -9 + 3u = (4 * -6 + -3u * -6) + -3u -9 + 3u = (-24 + 18u) + -3u Combine like terms: 18u + -3u = 15u -9 + 3u = -24 + 15u Solving -9 + 3u = -24 + 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. -9 + 3u + -15u = -24 + 15u + -15u Combine like terms: 3u + -15u = -12u -9 + -12u = -24 + 15u + -15u Combine like terms: 15u + -15u = 0 -9 + -12u = -24 + 0 -9 + -12u = -24 Add '9' to each side of the equation. -9 + 9 + -12u = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -12u = -24 + 9 -12u = -24 + 9 Combine like terms: -24 + 9 = -15 -12u = -15 Divide each side by '-12'. u = 1.25 Simplifying u = 1.25
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