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Simplifying 12 + -7u = 7 + 5(u + 2) Reorder the terms: 12 + -7u = 7 + 5(2 + u) 12 + -7u = 7 + (2 * 5 + u * 5) 12 + -7u = 7 + (10 + 5u) Combine like terms: 7 + 10 = 17 12 + -7u = 17 + 5u Solving 12 + -7u = 17 + 5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-5u' to each side of the equation. 12 + -7u + -5u = 17 + 5u + -5u Combine like terms: -7u + -5u = -12u 12 + -12u = 17 + 5u + -5u Combine like terms: 5u + -5u = 0 12 + -12u = 17 + 0 12 + -12u = 17 Add '-12' to each side of the equation. 12 + -12 + -12u = 17 + -12 Combine like terms: 12 + -12 = 0 0 + -12u = 17 + -12 -12u = 17 + -12 Combine like terms: 17 + -12 = 5 -12u = 5 Divide each side by '-12'. u = -0.4166666667 Simplifying u = -0.4166666667
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