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Simplifying 3 + 2(3v + -5) = -2 + -4 + v Reorder the terms: 3 + 2(-5 + 3v) = -2 + -4 + v 3 + (-5 * 2 + 3v * 2) = -2 + -4 + v 3 + (-10 + 6v) = -2 + -4 + v Combine like terms: 3 + -10 = -7 -7 + 6v = -2 + -4 + v Combine like terms: -2 + -4 = -6 -7 + 6v = -6 + v Solving -7 + 6v = -6 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -7 + 6v + -1v = -6 + v + -1v Combine like terms: 6v + -1v = 5v -7 + 5v = -6 + v + -1v Combine like terms: v + -1v = 0 -7 + 5v = -6 + 0 -7 + 5v = -6 Add '7' to each side of the equation. -7 + 7 + 5v = -6 + 7 Combine like terms: -7 + 7 = 0 0 + 5v = -6 + 7 5v = -6 + 7 Combine like terms: -6 + 7 = 1 5v = 1 Divide each side by '5'. v = 0.2 Simplifying v = 0.2
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