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Simplifying -6(4v + -2) + 3v = -3(v + 1) Reorder the terms: -6(-2 + 4v) + 3v = -3(v + 1) (-2 * -6 + 4v * -6) + 3v = -3(v + 1) (12 + -24v) + 3v = -3(v + 1) Combine like terms: -24v + 3v = -21v 12 + -21v = -3(v + 1) Reorder the terms: 12 + -21v = -3(1 + v) 12 + -21v = (1 * -3 + v * -3) 12 + -21v = (-3 + -3v) Solving 12 + -21v = -3 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 12 + -21v + 3v = -3 + -3v + 3v Combine like terms: -21v + 3v = -18v 12 + -18v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 12 + -18v = -3 + 0 12 + -18v = -3 Add '-12' to each side of the equation. 12 + -12 + -18v = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -18v = -3 + -12 -18v = -3 + -12 Combine like terms: -3 + -12 = -15 -18v = -15 Divide each side by '-18'. v = 0.8333333333 Simplifying v = 0.8333333333
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