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Simplifying 6u + -1(2u + 5) = 2(u + 1) + -9 Reorder the terms: 6u + -1(5 + 2u) = 2(u + 1) + -9 6u + (5 * -1 + 2u * -1) = 2(u + 1) + -9 6u + (-5 + -2u) = 2(u + 1) + -9 Reorder the terms: -5 + 6u + -2u = 2(u + 1) + -9 Combine like terms: 6u + -2u = 4u -5 + 4u = 2(u + 1) + -9 Reorder the terms: -5 + 4u = 2(1 + u) + -9 -5 + 4u = (1 * 2 + u * 2) + -9 -5 + 4u = (2 + 2u) + -9 Reorder the terms: -5 + 4u = 2 + -9 + 2u Combine like terms: 2 + -9 = -7 -5 + 4u = -7 + 2u Solving -5 + 4u = -7 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -5 + 4u + -2u = -7 + 2u + -2u Combine like terms: 4u + -2u = 2u -5 + 2u = -7 + 2u + -2u Combine like terms: 2u + -2u = 0 -5 + 2u = -7 + 0 -5 + 2u = -7 Add '5' to each side of the equation. -5 + 5 + 2u = -7 + 5 Combine like terms: -5 + 5 = 0 0 + 2u = -7 + 5 2u = -7 + 5 Combine like terms: -7 + 5 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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