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Simplifying -3(5v + -1x) + 4(-6x + 3v) = 0 (5v * -3 + -1x * -3) + 4(-6x + 3v) = 0 (-15v + 3x) + 4(-6x + 3v) = 0 Reorder the terms: -15v + 3x + 4(3v + -6x) = 0 -15v + 3x + (3v * 4 + -6x * 4) = 0 -15v + 3x + (12v + -24x) = 0 Reorder the terms: -15v + 12v + 3x + -24x = 0 Combine like terms: -15v + 12v = -3v -3v + 3x + -24x = 0 Combine like terms: 3x + -24x = -21x -3v + -21x = 0 Solving -3v + -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. -3v + -21x + 21x = 0 + 21x Combine like terms: -21x + 21x = 0 -3v + 0 = 0 + 21x -3v = 0 + 21x Remove the zero: -3v = 21x Divide each side by '-3'. v = -7x Simplifying v = -7x
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