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Simplifying 3 + v = -2(1 + -3v) 3 + v = (1 * -2 + -3v * -2) 3 + v = (-2 + 6v) Solving 3 + v = -2 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 3 + v + -6v = -2 + 6v + -6v Combine like terms: v + -6v = -5v 3 + -5v = -2 + 6v + -6v Combine like terms: 6v + -6v = 0 3 + -5v = -2 + 0 3 + -5v = -2 Add '-3' to each side of the equation. 3 + -3 + -5v = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = -2 + -3 -5v = -2 + -3 Combine like terms: -2 + -3 = -5 -5v = -5 Divide each side by '-5'. v = 1 Simplifying v = 1
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