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Simplifying 5(u + -6) + -1 = -3(-6u + 7) + -5u Reorder the terms: 5(-6 + u) + -1 = -3(-6u + 7) + -5u (-6 * 5 + u * 5) + -1 = -3(-6u + 7) + -5u (-30 + 5u) + -1 = -3(-6u + 7) + -5u Reorder the terms: -30 + -1 + 5u = -3(-6u + 7) + -5u Combine like terms: -30 + -1 = -31 -31 + 5u = -3(-6u + 7) + -5u Reorder the terms: -31 + 5u = -3(7 + -6u) + -5u -31 + 5u = (7 * -3 + -6u * -3) + -5u -31 + 5u = (-21 + 18u) + -5u Combine like terms: 18u + -5u = 13u -31 + 5u = -21 + 13u Solving -31 + 5u = -21 + 13u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-13u' to each side of the equation. -31 + 5u + -13u = -21 + 13u + -13u Combine like terms: 5u + -13u = -8u -31 + -8u = -21 + 13u + -13u Combine like terms: 13u + -13u = 0 -31 + -8u = -21 + 0 -31 + -8u = -21 Add '31' to each side of the equation. -31 + 31 + -8u = -21 + 31 Combine like terms: -31 + 31 = 0 0 + -8u = -21 + 31 -8u = -21 + 31 Combine like terms: -21 + 31 = 10 -8u = 10 Divide each side by '-8'. u = -1.25 Simplifying u = -1.25
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