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Simplifying -7(-4u + 2v + -6) = 0 Reorder the terms: -7(-6 + -4u + 2v) = 0 (-6 * -7 + -4u * -7 + 2v * -7) = 0 (42 + 28u + -14v) = 0 Solving 42 + 28u + -14v = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 28u + -42 + -14v = 0 + -42 Reorder the terms: 42 + -42 + 28u + -14v = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 28u + -14v = 0 + -42 28u + -14v = 0 + -42 Combine like terms: 0 + -42 = -42 28u + -14v = -42 Add '14v' to each side of the equation. 28u + -14v + 14v = -42 + 14v Combine like terms: -14v + 14v = 0 28u + 0 = -42 + 14v 28u = -42 + 14v Divide each side by '28'. u = -1.5 + 0.5v Simplifying u = -1.5 + 0.5v
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