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Simplifying 2(6u + -1) + -1(1v + 9) = 28 Reorder the terms: 2(-1 + 6u) + -1(1v + 9) = 28 (-1 * 2 + 6u * 2) + -1(1v + 9) = 28 (-2 + 12u) + -1(1v + 9) = 28 Reorder the terms: -2 + 12u + -1(9 + 1v) = 28 -2 + 12u + (9 * -1 + 1v * -1) = 28 -2 + 12u + (-9 + -1v) = 28 Reorder the terms: -2 + -9 + 12u + -1v = 28 Combine like terms: -2 + -9 = -11 -11 + 12u + -1v = 28 Solving -11 + 12u + -1v = 28 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 12u + 11 + -1v = 28 + 11 Reorder the terms: -11 + 11 + 12u + -1v = 28 + 11 Combine like terms: -11 + 11 = 0 0 + 12u + -1v = 28 + 11 12u + -1v = 28 + 11 Combine like terms: 28 + 11 = 39 12u + -1v = 39 Add 'v' to each side of the equation. 12u + -1v + v = 39 + v Combine like terms: -1v + v = 0 12u + 0 = 39 + v 12u = 39 + v Divide each side by '12'. u = 3.25 + 0.08333333333v Simplifying u = 3.25 + 0.08333333333v
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