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Simplifying 6(u + 8) = 6 + -7(2u + -6) + 9u Reorder the terms: 6(8 + u) = 6 + -7(2u + -6) + 9u (8 * 6 + u * 6) = 6 + -7(2u + -6) + 9u (48 + 6u) = 6 + -7(2u + -6) + 9u Reorder the terms: 48 + 6u = 6 + -7(-6 + 2u) + 9u 48 + 6u = 6 + (-6 * -7 + 2u * -7) + 9u 48 + 6u = 6 + (42 + -14u) + 9u Combine like terms: 6 + 42 = 48 48 + 6u = 48 + -14u + 9u Combine like terms: -14u + 9u = -5u 48 + 6u = 48 + -5u Add '-48' to each side of the equation. 48 + -48 + 6u = 48 + -48 + -5u Combine like terms: 48 + -48 = 0 0 + 6u = 48 + -48 + -5u 6u = 48 + -48 + -5u Combine like terms: 48 + -48 = 0 6u = 0 + -5u 6u = -5u Solving 6u = -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. 6u + 5u = -5u + 5u Combine like terms: 6u + 5u = 11u 11u = -5u + 5u Combine like terms: -5u + 5u = 0 11u = 0 Divide each side by '11'. u = 0 Simplifying u = 0
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