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Simplifying -6u + 27 = 9(u + -7) Reorder the terms: 27 + -6u = 9(u + -7) Reorder the terms: 27 + -6u = 9(-7 + u) 27 + -6u = (-7 * 9 + u * 9) 27 + -6u = (-63 + 9u) Solving 27 + -6u = -63 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. 27 + -6u + -9u = -63 + 9u + -9u Combine like terms: -6u + -9u = -15u 27 + -15u = -63 + 9u + -9u Combine like terms: 9u + -9u = 0 27 + -15u = -63 + 0 27 + -15u = -63 Add '-27' to each side of the equation. 27 + -27 + -15u = -63 + -27 Combine like terms: 27 + -27 = 0 0 + -15u = -63 + -27 -15u = -63 + -27 Combine like terms: -63 + -27 = -90 -15u = -90 Divide each side by '-15'. u = 6 Simplifying u = 6
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