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Simplifying -6(u + 1) = 5u + -2 + 2(2u + 7) Reorder the terms: -6(1 + u) = 5u + -2 + 2(2u + 7) (1 * -6 + u * -6) = 5u + -2 + 2(2u + 7) (-6 + -6u) = 5u + -2 + 2(2u + 7) Reorder the terms: -6 + -6u = 5u + -2 + 2(7 + 2u) -6 + -6u = 5u + -2 + (7 * 2 + 2u * 2) -6 + -6u = 5u + -2 + (14 + 4u) Reorder the terms: -6 + -6u = -2 + 14 + 5u + 4u Combine like terms: -2 + 14 = 12 -6 + -6u = 12 + 5u + 4u Combine like terms: 5u + 4u = 9u -6 + -6u = 12 + 9u Solving -6 + -6u = 12 + 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. -6 + -6u + -9u = 12 + 9u + -9u Combine like terms: -6u + -9u = -15u -6 + -15u = 12 + 9u + -9u Combine like terms: 9u + -9u = 0 -6 + -15u = 12 + 0 -6 + -15u = 12 Add '6' to each side of the equation. -6 + 6 + -15u = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -15u = 12 + 6 -15u = 12 + 6 Combine like terms: 12 + 6 = 18 -15u = 18 Divide each side by '-15'. u = -1.2 Simplifying u = -1.2
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