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Simplifying u + -7 + 2(2u + 1) = -7(u + 2) Reorder the terms: u + -7 + 2(1 + 2u) = -7(u + 2) u + -7 + (1 * 2 + 2u * 2) = -7(u + 2) u + -7 + (2 + 4u) = -7(u + 2) Reorder the terms: -7 + 2 + u + 4u = -7(u + 2) Combine like terms: -7 + 2 = -5 -5 + u + 4u = -7(u + 2) Combine like terms: u + 4u = 5u -5 + 5u = -7(u + 2) Reorder the terms: -5 + 5u = -7(2 + u) -5 + 5u = (2 * -7 + u * -7) -5 + 5u = (-14 + -7u) Solving -5 + 5u = -14 + -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. -5 + 5u + 7u = -14 + -7u + 7u Combine like terms: 5u + 7u = 12u -5 + 12u = -14 + -7u + 7u Combine like terms: -7u + 7u = 0 -5 + 12u = -14 + 0 -5 + 12u = -14 Add '5' to each side of the equation. -5 + 5 + 12u = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 12u = -14 + 5 12u = -14 + 5 Combine like terms: -14 + 5 = -9 12u = -9 Divide each side by '12'. u = -0.75 Simplifying u = -0.75
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