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Simplifying -4(3v + x) + 5(-6x + -4v) = 0 (3v * -4 + x * -4) + 5(-6x + -4v) = 0 (-12v + -4x) + 5(-6x + -4v) = 0 Reorder the terms: -12v + -4x + 5(-4v + -6x) = 0 -12v + -4x + (-4v * 5 + -6x * 5) = 0 -12v + -4x + (-20v + -30x) = 0 Reorder the terms: -12v + -20v + -4x + -30x = 0 Combine like terms: -12v + -20v = -32v -32v + -4x + -30x = 0 Combine like terms: -4x + -30x = -34x -32v + -34x = 0 Solving -32v + -34x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '34x' to each side of the equation. -32v + -34x + 34x = 0 + 34x Combine like terms: -34x + 34x = 0 -32v + 0 = 0 + 34x -32v = 0 + 34x Remove the zero: -32v = 34x Divide each side by '-32'. v = -1.0625x Simplifying v = -1.0625x
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