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Simplifying 4(u + -9) + -6 = -4(-3u + 7) + -4u Reorder the terms: 4(-9 + u) + -6 = -4(-3u + 7) + -4u (-9 * 4 + u * 4) + -6 = -4(-3u + 7) + -4u (-36 + 4u) + -6 = -4(-3u + 7) + -4u Reorder the terms: -36 + -6 + 4u = -4(-3u + 7) + -4u Combine like terms: -36 + -6 = -42 -42 + 4u = -4(-3u + 7) + -4u Reorder the terms: -42 + 4u = -4(7 + -3u) + -4u -42 + 4u = (7 * -4 + -3u * -4) + -4u -42 + 4u = (-28 + 12u) + -4u Combine like terms: 12u + -4u = 8u -42 + 4u = -28 + 8u Solving -42 + 4u = -28 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -42 + 4u + -8u = -28 + 8u + -8u Combine like terms: 4u + -8u = -4u -42 + -4u = -28 + 8u + -8u Combine like terms: 8u + -8u = 0 -42 + -4u = -28 + 0 -42 + -4u = -28 Add '42' to each side of the equation. -42 + 42 + -4u = -28 + 42 Combine like terms: -42 + 42 = 0 0 + -4u = -28 + 42 -4u = -28 + 42 Combine like terms: -28 + 42 = 14 -4u = 14 Divide each side by '-4'. u = -3.5 Simplifying u = -3.5
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