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Simplifying 3(u + -4) + -9 = -3(-4u + 2) + -3u Reorder the terms: 3(-4 + u) + -9 = -3(-4u + 2) + -3u (-4 * 3 + u * 3) + -9 = -3(-4u + 2) + -3u (-12 + 3u) + -9 = -3(-4u + 2) + -3u Reorder the terms: -12 + -9 + 3u = -3(-4u + 2) + -3u Combine like terms: -12 + -9 = -21 -21 + 3u = -3(-4u + 2) + -3u Reorder the terms: -21 + 3u = -3(2 + -4u) + -3u -21 + 3u = (2 * -3 + -4u * -3) + -3u -21 + 3u = (-6 + 12u) + -3u Combine like terms: 12u + -3u = 9u -21 + 3u = -6 + 9u Solving -21 + 3u = -6 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -21 + 3u + -9u = -6 + 9u + -9u Combine like terms: 3u + -9u = -6u -21 + -6u = -6 + 9u + -9u Combine like terms: 9u + -9u = 0 -21 + -6u = -6 + 0 -21 + -6u = -6 Add '21' to each side of the equation. -21 + 21 + -6u = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -6u = -6 + 21 -6u = -6 + 21 Combine like terms: -6 + 21 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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