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Simplifying -1(6x + -1v) + 3(5v + -5x) = 0 Reorder the terms: -1(-1v + 6x) + 3(5v + -5x) = 0 (-1v * -1 + 6x * -1) + 3(5v + -5x) = 0 (1v + -6x) + 3(5v + -5x) = 0 1v + -6x + (5v * 3 + -5x * 3) = 0 1v + -6x + (15v + -15x) = 0 Reorder the terms: 1v + 15v + -6x + -15x = 0 Combine like terms: 1v + 15v = 16v 16v + -6x + -15x = 0 Combine like terms: -6x + -15x = -21x 16v + -21x = 0 Solving 16v + -21x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21x' to each side of the equation. 16v + -21x + 21x = 0 + 21x Combine like terms: -21x + 21x = 0 16v + 0 = 0 + 21x 16v = 0 + 21x Remove the zero: 16v = 21x Divide each side by '16'. v = 1.3125x Simplifying v = 1.3125x
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