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Simplifying -6(u + -1) = 7u + 45 Reorder the terms: -6(-1 + u) = 7u + 45 (-1 * -6 + u * -6) = 7u + 45 (6 + -6u) = 7u + 45 Reorder the terms: 6 + -6u = 45 + 7u Solving 6 + -6u = 45 + 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. 6 + -6u + -7u = 45 + 7u + -7u Combine like terms: -6u + -7u = -13u 6 + -13u = 45 + 7u + -7u Combine like terms: 7u + -7u = 0 6 + -13u = 45 + 0 6 + -13u = 45 Add '-6' to each side of the equation. 6 + -6 + -13u = 45 + -6 Combine like terms: 6 + -6 = 0 0 + -13u = 45 + -6 -13u = 45 + -6 Combine like terms: 45 + -6 = 39 -13u = 39 Divide each side by '-13'. u = -3 Simplifying u = -3
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