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Simplifying -3(5v + -1x) + -1(4x + -2v) = 0 (5v * -3 + -1x * -3) + -1(4x + -2v) = 0 (-15v + 3x) + -1(4x + -2v) = 0 Reorder the terms: -15v + 3x + -1(-2v + 4x) = 0 -15v + 3x + (-2v * -1 + 4x * -1) = 0 -15v + 3x + (2v + -4x) = 0 Reorder the terms: -15v + 2v + 3x + -4x = 0 Combine like terms: -15v + 2v = -13v -13v + 3x + -4x = 0 Combine like terms: 3x + -4x = -1x -13v + -1x = 0 Solving -13v + -1x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'x' to each side of the equation. -13v + -1x + x = 0 + x Combine like terms: -1x + x = 0 -13v + 0 = 0 + x -13v = 0 + x Remove the zero: -13v = x Divide each side by '-13'. v = -0.07692307692x Simplifying v = -0.07692307692x
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