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Simplifying 4(u + -7) + -7 = -5(-3u + 4) + -5u Reorder the terms: 4(-7 + u) + -7 = -5(-3u + 4) + -5u (-7 * 4 + u * 4) + -7 = -5(-3u + 4) + -5u (-28 + 4u) + -7 = -5(-3u + 4) + -5u Reorder the terms: -28 + -7 + 4u = -5(-3u + 4) + -5u Combine like terms: -28 + -7 = -35 -35 + 4u = -5(-3u + 4) + -5u Reorder the terms: -35 + 4u = -5(4 + -3u) + -5u -35 + 4u = (4 * -5 + -3u * -5) + -5u -35 + 4u = (-20 + 15u) + -5u Combine like terms: 15u + -5u = 10u -35 + 4u = -20 + 10u Solving -35 + 4u = -20 + 10u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-10u' to each side of the equation. -35 + 4u + -10u = -20 + 10u + -10u Combine like terms: 4u + -10u = -6u -35 + -6u = -20 + 10u + -10u Combine like terms: 10u + -10u = 0 -35 + -6u = -20 + 0 -35 + -6u = -20 Add '35' to each side of the equation. -35 + 35 + -6u = -20 + 35 Combine like terms: -35 + 35 = 0 0 + -6u = -20 + 35 -6u = -20 + 35 Combine like terms: -20 + 35 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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