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Simplifying 5(u + -3) + -3 = -2(-4u + 8) + -9u Reorder the terms: 5(-3 + u) + -3 = -2(-4u + 8) + -9u (-3 * 5 + u * 5) + -3 = -2(-4u + 8) + -9u (-15 + 5u) + -3 = -2(-4u + 8) + -9u Reorder the terms: -15 + -3 + 5u = -2(-4u + 8) + -9u Combine like terms: -15 + -3 = -18 -18 + 5u = -2(-4u + 8) + -9u Reorder the terms: -18 + 5u = -2(8 + -4u) + -9u -18 + 5u = (8 * -2 + -4u * -2) + -9u -18 + 5u = (-16 + 8u) + -9u Combine like terms: 8u + -9u = -1u -18 + 5u = -16 + -1u Solving -18 + 5u = -16 + -1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add 'u' to each side of the equation. -18 + 5u + u = -16 + -1u + u Combine like terms: 5u + u = 6u -18 + 6u = -16 + -1u + u Combine like terms: -1u + u = 0 -18 + 6u = -16 + 0 -18 + 6u = -16 Add '18' to each side of the equation. -18 + 18 + 6u = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 6u = -16 + 18 6u = -16 + 18 Combine like terms: -16 + 18 = 2 6u = 2 Divide each side by '6'. u = 0.3333333333 Simplifying u = 0.3333333333
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