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Simplifying 6(8 + -3v) = -6(-3 + 2v) (8 * 6 + -3v * 6) = -6(-3 + 2v) (48 + -18v) = -6(-3 + 2v) 48 + -18v = (-3 * -6 + 2v * -6) 48 + -18v = (18 + -12v) Solving 48 + -18v = 18 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 48 + -18v + 12v = 18 + -12v + 12v Combine like terms: -18v + 12v = -6v 48 + -6v = 18 + -12v + 12v Combine like terms: -12v + 12v = 0 48 + -6v = 18 + 0 48 + -6v = 18 Add '-48' to each side of the equation. 48 + -48 + -6v = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -6v = 18 + -48 -6v = 18 + -48 Combine like terms: 18 + -48 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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