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Simplifying 6(5u + -8) + -20 = 11(2u + -3) + 3u Reorder the terms: 6(-8 + 5u) + -20 = 11(2u + -3) + 3u (-8 * 6 + 5u * 6) + -20 = 11(2u + -3) + 3u (-48 + 30u) + -20 = 11(2u + -3) + 3u Reorder the terms: -48 + -20 + 30u = 11(2u + -3) + 3u Combine like terms: -48 + -20 = -68 -68 + 30u = 11(2u + -3) + 3u Reorder the terms: -68 + 30u = 11(-3 + 2u) + 3u -68 + 30u = (-3 * 11 + 2u * 11) + 3u -68 + 30u = (-33 + 22u) + 3u Combine like terms: 22u + 3u = 25u -68 + 30u = -33 + 25u Solving -68 + 30u = -33 + 25u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-25u' to each side of the equation. -68 + 30u + -25u = -33 + 25u + -25u Combine like terms: 30u + -25u = 5u -68 + 5u = -33 + 25u + -25u Combine like terms: 25u + -25u = 0 -68 + 5u = -33 + 0 -68 + 5u = -33 Add '68' to each side of the equation. -68 + 68 + 5u = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 5u = -33 + 68 5u = -33 + 68 Combine like terms: -33 + 68 = 35 5u = 35 Divide each side by '5'. u = 7 Simplifying u = 7
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