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Simplifying 4u + 5 = 12u + -10 + -1 Reorder the terms: 5 + 4u = 12u + -10 + -1 Reorder the terms: 5 + 4u = -10 + -1 + 12u Combine like terms: -10 + -1 = -11 5 + 4u = -11 + 12u Solving 5 + 4u = -11 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. 5 + 4u + -12u = -11 + 12u + -12u Combine like terms: 4u + -12u = -8u 5 + -8u = -11 + 12u + -12u Combine like terms: 12u + -12u = 0 5 + -8u = -11 + 0 5 + -8u = -11 Add '-5' to each side of the equation. 5 + -5 + -8u = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -8u = -11 + -5 -8u = -11 + -5 Combine like terms: -11 + -5 = -16 -8u = -16 Divide each side by '-8'. u = 2 Simplifying u = 2
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