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Simplifying 3(x + -3v) = 5 + 7v Reorder the terms: 3(-3v + x) = 5 + 7v (-3v * 3 + x * 3) = 5 + 7v (-9v + 3x) = 5 + 7v Solving -9v + 3x = 5 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -9v + -7v + 3x = 5 + 7v + -7v Combine like terms: -9v + -7v = -16v -16v + 3x = 5 + 7v + -7v Combine like terms: 7v + -7v = 0 -16v + 3x = 5 + 0 -16v + 3x = 5 Add '-3x' to each side of the equation. -16v + 3x + -3x = 5 + -3x Combine like terms: 3x + -3x = 0 -16v + 0 = 5 + -3x -16v = 5 + -3x Divide each side by '-16'. v = -0.3125 + 0.1875x Simplifying v = -0.3125 + 0.1875x
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