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Simplifying 4(u + -5) + -7 = -7(-2u + 6) + -4u Reorder the terms: 4(-5 + u) + -7 = -7(-2u + 6) + -4u (-5 * 4 + u * 4) + -7 = -7(-2u + 6) + -4u (-20 + 4u) + -7 = -7(-2u + 6) + -4u Reorder the terms: -20 + -7 + 4u = -7(-2u + 6) + -4u Combine like terms: -20 + -7 = -27 -27 + 4u = -7(-2u + 6) + -4u Reorder the terms: -27 + 4u = -7(6 + -2u) + -4u -27 + 4u = (6 * -7 + -2u * -7) + -4u -27 + 4u = (-42 + 14u) + -4u Combine like terms: 14u + -4u = 10u -27 + 4u = -42 + 10u Solving -27 + 4u = -42 + 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. -27 + 4u + -10u = -42 + 10u + -10u Combine like terms: 4u + -10u = -6u -27 + -6u = -42 + 10u + -10u Combine like terms: 10u + -10u = 0 -27 + -6u = -42 + 0 -27 + -6u = -42 Add '27' to each side of the equation. -27 + 27 + -6u = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -6u = -42 + 27 -6u = -42 + 27 Combine like terms: -42 + 27 = -15 -6u = -15 Divide each side by '-6'. u = 2.5 Simplifying u = 2.5
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