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Simplifying 3X + -1(2V + -1U) = 2(4X + -3U) Reorder the terms: 3X + -1(-1U + 2V) = 2(4X + -3U) 3X + (-1U * -1 + 2V * -1) = 2(4X + -3U) 3X + (1U + -2V) = 2(4X + -3U) Reorder the terms: 1U + -2V + 3X = 2(4X + -3U) Reorder the terms: 1U + -2V + 3X = 2(-3U + 4X) 1U + -2V + 3X = (-3U * 2 + 4X * 2) 1U + -2V + 3X = (-6U + 8X) Solving 1U + -2V + 3X = -6U + 8X Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '6U' to each side of the equation. 1U + -2V + 6U + 3X = -6U + 6U + 8X Reorder the terms: 1U + 6U + -2V + 3X = -6U + 6U + 8X Combine like terms: 1U + 6U = 7U 7U + -2V + 3X = -6U + 6U + 8X Combine like terms: -6U + 6U = 0 7U + -2V + 3X = 0 + 8X 7U + -2V + 3X = 8X Add '2V' to each side of the equation. 7U + -2V + 2V + 3X = 2V + 8X Combine like terms: -2V + 2V = 0 7U + 0 + 3X = 2V + 8X 7U + 3X = 2V + 8X Add '-3X' to each side of the equation. 7U + 3X + -3X = 2V + 8X + -3X Combine like terms: 3X + -3X = 0 7U + 0 = 2V + 8X + -3X 7U = 2V + 8X + -3X Combine like terms: 8X + -3X = 5X 7U = 2V + 5X Divide each side by '7'. U = 0.2857142857V + 0.7142857143X Simplifying U = 0.2857142857V + 0.7142857143X
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