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Simplifying -2(-4v + 3) = -6(8 + -10v) Reorder the terms: -2(3 + -4v) = -6(8 + -10v) (3 * -2 + -4v * -2) = -6(8 + -10v) (-6 + 8v) = -6(8 + -10v) -6 + 8v = (8 * -6 + -10v * -6) -6 + 8v = (-48 + 60v) Solving -6 + 8v = -48 + 60v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-60v' to each side of the equation. -6 + 8v + -60v = -48 + 60v + -60v Combine like terms: 8v + -60v = -52v -6 + -52v = -48 + 60v + -60v Combine like terms: 60v + -60v = 0 -6 + -52v = -48 + 0 -6 + -52v = -48 Add '6' to each side of the equation. -6 + 6 + -52v = -48 + 6 Combine like terms: -6 + 6 = 0 0 + -52v = -48 + 6 -52v = -48 + 6 Combine like terms: -48 + 6 = -42 -52v = -42 Divide each side by '-52'. v = 0.8076923077 Simplifying v = 0.8076923077
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