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Simplifying 2u + 38 = 7(u + -1) Reorder the terms: 38 + 2u = 7(u + -1) Reorder the terms: 38 + 2u = 7(-1 + u) 38 + 2u = (-1 * 7 + u * 7) 38 + 2u = (-7 + 7u) Solving 38 + 2u = -7 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. 38 + 2u + -7u = -7 + 7u + -7u Combine like terms: 2u + -7u = -5u 38 + -5u = -7 + 7u + -7u Combine like terms: 7u + -7u = 0 38 + -5u = -7 + 0 38 + -5u = -7 Add '-38' to each side of the equation. 38 + -38 + -5u = -7 + -38 Combine like terms: 38 + -38 = 0 0 + -5u = -7 + -38 -5u = -7 + -38 Combine like terms: -7 + -38 = -45 -5u = -45 Divide each side by '-5'. u = 9 Simplifying u = 9
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