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Simplifying 3(u + -7) + -9 = -6(-4u + 3) + -3u Reorder the terms: 3(-7 + u) + -9 = -6(-4u + 3) + -3u (-7 * 3 + u * 3) + -9 = -6(-4u + 3) + -3u (-21 + 3u) + -9 = -6(-4u + 3) + -3u Reorder the terms: -21 + -9 + 3u = -6(-4u + 3) + -3u Combine like terms: -21 + -9 = -30 -30 + 3u = -6(-4u + 3) + -3u Reorder the terms: -30 + 3u = -6(3 + -4u) + -3u -30 + 3u = (3 * -6 + -4u * -6) + -3u -30 + 3u = (-18 + 24u) + -3u Combine like terms: 24u + -3u = 21u -30 + 3u = -18 + 21u Solving -30 + 3u = -18 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -30 + 3u + -21u = -18 + 21u + -21u Combine like terms: 3u + -21u = -18u -30 + -18u = -18 + 21u + -21u Combine like terms: 21u + -21u = 0 -30 + -18u = -18 + 0 -30 + -18u = -18 Add '30' to each side of the equation. -30 + 30 + -18u = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -18u = -18 + 30 -18u = -18 + 30 Combine like terms: -18 + 30 = 12 -18u = 12 Divide each side by '-18'. u = -0.6666666667 Simplifying u = -0.6666666667
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