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Simplifying 1 + -12u = 7(1 + -2u) 1 + -12u = (1 * 7 + -2u * 7) 1 + -12u = (7 + -14u) Solving 1 + -12u = 7 + -14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '14u' to each side of the equation. 1 + -12u + 14u = 7 + -14u + 14u Combine like terms: -12u + 14u = 2u 1 + 2u = 7 + -14u + 14u Combine like terms: -14u + 14u = 0 1 + 2u = 7 + 0 1 + 2u = 7 Add '-1' to each side of the equation. 1 + -1 + 2u = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2u = 7 + -1 2u = 7 + -1 Combine like terms: 7 + -1 = 6 2u = 6 Divide each side by '2'. u = 3 Simplifying u = 3
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