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Simplifying -3(4u + v) + 5(-3v + 6u) = 0 (4u * -3 + v * -3) + 5(-3v + 6u) = 0 (-12u + -3v) + 5(-3v + 6u) = 0 Reorder the terms: -12u + -3v + 5(6u + -3v) = 0 -12u + -3v + (6u * 5 + -3v * 5) = 0 -12u + -3v + (30u + -15v) = 0 Reorder the terms: -12u + 30u + -3v + -15v = 0 Combine like terms: -12u + 30u = 18u 18u + -3v + -15v = 0 Combine like terms: -3v + -15v = -18v 18u + -18v = 0 Solving 18u + -18v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18v' to each side of the equation. 18u + -18v + 18v = 0 + 18v Combine like terms: -18v + 18v = 0 18u + 0 = 0 + 18v 18u = 0 + 18v Remove the zero: 18u = 18v Divide each side by '18'. u = v Simplifying u = v
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