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Simplifying 3x + -1(4v + -1u) = 3(4x + -6u) Reorder the terms: 3x + -1(-1u + 4v) = 3(4x + -6u) 3x + (-1u * -1 + 4v * -1) = 3(4x + -6u) 3x + (1u + -4v) = 3(4x + -6u) Reorder the terms: 1u + -4v + 3x = 3(4x + -6u) Reorder the terms: 1u + -4v + 3x = 3(-6u + 4x) 1u + -4v + 3x = (-6u * 3 + 4x * 3) 1u + -4v + 3x = (-18u + 12x) Solving 1u + -4v + 3x = -18u + 12x Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '18u' to each side of the equation. 1u + -4v + 18u + 3x = -18u + 18u + 12x Reorder the terms: 1u + 18u + -4v + 3x = -18u + 18u + 12x Combine like terms: 1u + 18u = 19u 19u + -4v + 3x = -18u + 18u + 12x Combine like terms: -18u + 18u = 0 19u + -4v + 3x = 0 + 12x 19u + -4v + 3x = 12x Add '4v' to each side of the equation. 19u + -4v + 4v + 3x = 4v + 12x Combine like terms: -4v + 4v = 0 19u + 0 + 3x = 4v + 12x 19u + 3x = 4v + 12x Add '-3x' to each side of the equation. 19u + 3x + -3x = 4v + 12x + -3x Combine like terms: 3x + -3x = 0 19u + 0 = 4v + 12x + -3x 19u = 4v + 12x + -3x Combine like terms: 12x + -3x = 9x 19u = 4v + 9x Divide each side by '19'. u = 0.2105263158v + 0.4736842105x Simplifying u = 0.2105263158v + 0.4736842105x
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