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Simplifying -4(-3x + v) + -1(5v + -1x) = 0 Reorder the terms: -4(v + -3x) + -1(5v + -1x) = 0 (v * -4 + -3x * -4) + -1(5v + -1x) = 0 (-4v + 12x) + -1(5v + -1x) = 0 -4v + 12x + (5v * -1 + -1x * -1) = 0 -4v + 12x + (-5v + 1x) = 0 Reorder the terms: -4v + -5v + 12x + 1x = 0 Combine like terms: -4v + -5v = -9v -9v + 12x + 1x = 0 Combine like terms: 12x + 1x = 13x -9v + 13x = 0 Solving -9v + 13x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13x' to each side of the equation. -9v + 13x + -13x = 0 + -13x Combine like terms: 13x + -13x = 0 -9v + 0 = 0 + -13x -9v = 0 + -13x Remove the zero: -9v = -13x Divide each side by '-9'. v = 1.444444444x Simplifying v = 1.444444444x
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