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Simplifying 7(2u + -3) + -1(u + 3) = 5u Reorder the terms: 7(-3 + 2u) + -1(u + 3) = 5u (-3 * 7 + 2u * 7) + -1(u + 3) = 5u (-21 + 14u) + -1(u + 3) = 5u Reorder the terms: -21 + 14u + -1(3 + u) = 5u -21 + 14u + (3 * -1 + u * -1) = 5u -21 + 14u + (-3 + -1u) = 5u Reorder the terms: -21 + -3 + 14u + -1u = 5u Combine like terms: -21 + -3 = -24 -24 + 14u + -1u = 5u Combine like terms: 14u + -1u = 13u -24 + 13u = 5u Solving -24 + 13u = 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. -24 + 13u + -5u = 5u + -5u Combine like terms: 13u + -5u = 8u -24 + 8u = 5u + -5u Combine like terms: 5u + -5u = 0 -24 + 8u = 0 Add '24' to each side of the equation. -24 + 24 + 8u = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8u = 0 + 24 8u = 0 + 24 Combine like terms: 0 + 24 = 24 8u = 24 Divide each side by '8'. u = 3 Simplifying u = 3
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