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Simplifying 3(u + -1) + -9 = -6(-4u + 1) + -6u Reorder the terms: 3(-1 + u) + -9 = -6(-4u + 1) + -6u (-1 * 3 + u * 3) + -9 = -6(-4u + 1) + -6u (-3 + 3u) + -9 = -6(-4u + 1) + -6u Reorder the terms: -3 + -9 + 3u = -6(-4u + 1) + -6u Combine like terms: -3 + -9 = -12 -12 + 3u = -6(-4u + 1) + -6u Reorder the terms: -12 + 3u = -6(1 + -4u) + -6u -12 + 3u = (1 * -6 + -4u * -6) + -6u -12 + 3u = (-6 + 24u) + -6u Combine like terms: 24u + -6u = 18u -12 + 3u = -6 + 18u Solving -12 + 3u = -6 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -12 + 3u + -18u = -6 + 18u + -18u Combine like terms: 3u + -18u = -15u -12 + -15u = -6 + 18u + -18u Combine like terms: 18u + -18u = 0 -12 + -15u = -6 + 0 -12 + -15u = -6 Add '12' to each side of the equation. -12 + 12 + -15u = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -15u = -6 + 12 -15u = -6 + 12 Combine like terms: -6 + 12 = 6 -15u = 6 Divide each side by '-15'. u = -0.4 Simplifying u = -0.4
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