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Simplifying 5u + -18 = 19 + -4(2u + -20) Reorder the terms: -18 + 5u = 19 + -4(2u + -20) Reorder the terms: -18 + 5u = 19 + -4(-20 + 2u) -18 + 5u = 19 + (-20 * -4 + 2u * -4) -18 + 5u = 19 + (80 + -8u) Combine like terms: 19 + 80 = 99 -18 + 5u = 99 + -8u Solving -18 + 5u = 99 + -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. -18 + 5u + 8u = 99 + -8u + 8u Combine like terms: 5u + 8u = 13u -18 + 13u = 99 + -8u + 8u Combine like terms: -8u + 8u = 0 -18 + 13u = 99 + 0 -18 + 13u = 99 Add '18' to each side of the equation. -18 + 18 + 13u = 99 + 18 Combine like terms: -18 + 18 = 0 0 + 13u = 99 + 18 13u = 99 + 18 Combine like terms: 99 + 18 = 117 13u = 117 Divide each side by '13'. u = 9 Simplifying u = 9
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