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Simplifying -1(-1v + x) + 6(-5x + 6v) = 0 (-1v * -1 + x * -1) + 6(-5x + 6v) = 0 (1v + -1x) + 6(-5x + 6v) = 0 Reorder the terms: 1v + -1x + 6(6v + -5x) = 0 1v + -1x + (6v * 6 + -5x * 6) = 0 1v + -1x + (36v + -30x) = 0 Reorder the terms: 1v + 36v + -1x + -30x = 0 Combine like terms: 1v + 36v = 37v 37v + -1x + -30x = 0 Combine like terms: -1x + -30x = -31x 37v + -31x = 0 Solving 37v + -31x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '31x' to each side of the equation. 37v + -31x + 31x = 0 + 31x Combine like terms: -31x + 31x = 0 37v + 0 = 0 + 31x 37v = 0 + 31x Remove the zero: 37v = 31x Divide each side by '37'. v = 0.8378378378x Simplifying v = 0.8378378378x
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