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Simplifying -3x + -1v + -3z + -1(3x + v) = 0 Reorder the terms: -3x + -1v + -3z + -1(v + 3x) = 0 -3x + -1v + -3z + (v * -1 + 3x * -1) = 0 -3x + -1v + -3z + (-1v + -3x) = 0 Reorder the terms: -1v + -1v + -3x + -3x + -3z = 0 Combine like terms: -1v + -1v = -2v -2v + -3x + -3x + -3z = 0 Combine like terms: -3x + -3x = -6x -2v + -6x + -3z = 0 Solving -2v + -6x + -3z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6x' to each side of the equation. -2v + -6x + 6x + -3z = 0 + 6x Combine like terms: -6x + 6x = 0 -2v + 0 + -3z = 0 + 6x -2v + -3z = 0 + 6x Remove the zero: -2v + -3z = 6x Add '3z' to each side of the equation. -2v + -3z + 3z = 6x + 3z Combine like terms: -3z + 3z = 0 -2v + 0 = 6x + 3z -2v = 6x + 3z Divide each side by '-2'. v = -3x + -1.5z Simplifying v = -3x + -1.5z
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