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Simplifying -3(3v + x) + (2x + 2v) = 0 (3v * -3 + x * -3) + (2x + 2v) = 0 (-9v + -3x) + (2x + 2v) = 0 Reorder the terms: -9v + -3x + (2v + 2x) = 0 Remove parenthesis around (2v + 2x) -9v + -3x + 2v + 2x = 0 Reorder the terms: -9v + 2v + -3x + 2x = 0 Combine like terms: -9v + 2v = -7v -7v + -3x + 2x = 0 Combine like terms: -3x + 2x = -1x -7v + -1x = 0 Solving -7v + -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. -7v + -1x + x = 0 + x Combine like terms: -1x + x = 0 -7v + 0 = 0 + x -7v = 0 + x Remove the zero: -7v = x Divide each side by '-7'. v = -0.1428571429x Simplifying v = -0.1428571429x
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