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Simplifying 5(u + -4) + -8 = -4(-4u + 9) + -1u Reorder the terms: 5(-4 + u) + -8 = -4(-4u + 9) + -1u (-4 * 5 + u * 5) + -8 = -4(-4u + 9) + -1u (-20 + 5u) + -8 = -4(-4u + 9) + -1u Reorder the terms: -20 + -8 + 5u = -4(-4u + 9) + -1u Combine like terms: -20 + -8 = -28 -28 + 5u = -4(-4u + 9) + -1u Reorder the terms: -28 + 5u = -4(9 + -4u) + -1u -28 + 5u = (9 * -4 + -4u * -4) + -1u -28 + 5u = (-36 + 16u) + -1u Combine like terms: 16u + -1u = 15u -28 + 5u = -36 + 15u Solving -28 + 5u = -36 + 15u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-15u' to each side of the equation. -28 + 5u + -15u = -36 + 15u + -15u Combine like terms: 5u + -15u = -10u -28 + -10u = -36 + 15u + -15u Combine like terms: 15u + -15u = 0 -28 + -10u = -36 + 0 -28 + -10u = -36 Add '28' to each side of the equation. -28 + 28 + -10u = -36 + 28 Combine like terms: -28 + 28 = 0 0 + -10u = -36 + 28 -10u = -36 + 28 Combine like terms: -36 + 28 = -8 -10u = -8 Divide each side by '-10'. u = 0.8 Simplifying u = 0.8
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