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Simplifying 4(u + -5) + -9 = -3(-4u + 5) + -4u Reorder the terms: 4(-5 + u) + -9 = -3(-4u + 5) + -4u (-5 * 4 + u * 4) + -9 = -3(-4u + 5) + -4u (-20 + 4u) + -9 = -3(-4u + 5) + -4u Reorder the terms: -20 + -9 + 4u = -3(-4u + 5) + -4u Combine like terms: -20 + -9 = -29 -29 + 4u = -3(-4u + 5) + -4u Reorder the terms: -29 + 4u = -3(5 + -4u) + -4u -29 + 4u = (5 * -3 + -4u * -3) + -4u -29 + 4u = (-15 + 12u) + -4u Combine like terms: 12u + -4u = 8u -29 + 4u = -15 + 8u Solving -29 + 4u = -15 + 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. -29 + 4u + -8u = -15 + 8u + -8u Combine like terms: 4u + -8u = -4u -29 + -4u = -15 + 8u + -8u Combine like terms: 8u + -8u = 0 -29 + -4u = -15 + 0 -29 + -4u = -15 Add '29' to each side of the equation. -29 + 29 + -4u = -15 + 29 Combine like terms: -29 + 29 = 0 0 + -4u = -15 + 29 -4u = -15 + 29 Combine like terms: -15 + 29 = 14 -4u = 14 Divide each side by '-4'. u = -3.5 Simplifying u = -3.5
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