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Simplifying -6(2v + -3) + 3v = 7(v + 2) Reorder the terms: -6(-3 + 2v) + 3v = 7(v + 2) (-3 * -6 + 2v * -6) + 3v = 7(v + 2) (18 + -12v) + 3v = 7(v + 2) Combine like terms: -12v + 3v = -9v 18 + -9v = 7(v + 2) Reorder the terms: 18 + -9v = 7(2 + v) 18 + -9v = (2 * 7 + v * 7) 18 + -9v = (14 + 7v) Solving 18 + -9v = 14 + 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. 18 + -9v + -7v = 14 + 7v + -7v Combine like terms: -9v + -7v = -16v 18 + -16v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 18 + -16v = 14 + 0 18 + -16v = 14 Add '-18' to each side of the equation. 18 + -18 + -16v = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -16v = 14 + -18 -16v = 14 + -18 Combine like terms: 14 + -18 = -4 -16v = -4 Divide each side by '-16'. v = 0.25 Simplifying v = 0.25
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