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Simplifying 3(u + -5) + -1 = -5(-2u + 5) + -1u Reorder the terms: 3(-5 + u) + -1 = -5(-2u + 5) + -1u (-5 * 3 + u * 3) + -1 = -5(-2u + 5) + -1u (-15 + 3u) + -1 = -5(-2u + 5) + -1u Reorder the terms: -15 + -1 + 3u = -5(-2u + 5) + -1u Combine like terms: -15 + -1 = -16 -16 + 3u = -5(-2u + 5) + -1u Reorder the terms: -16 + 3u = -5(5 + -2u) + -1u -16 + 3u = (5 * -5 + -2u * -5) + -1u -16 + 3u = (-25 + 10u) + -1u Combine like terms: 10u + -1u = 9u -16 + 3u = -25 + 9u Solving -16 + 3u = -25 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -16 + 3u + -9u = -25 + 9u + -9u Combine like terms: 3u + -9u = -6u -16 + -6u = -25 + 9u + -9u Combine like terms: 9u + -9u = 0 -16 + -6u = -25 + 0 -16 + -6u = -25 Add '16' to each side of the equation. -16 + 16 + -6u = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -6u = -25 + 16 -6u = -25 + 16 Combine like terms: -25 + 16 = -9 -6u = -9 Divide each side by '-6'. u = 1.5 Simplifying u = 1.5
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