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Simplifying 4v + 2 = -3 + -1(v + 3) Reorder the terms: 2 + 4v = -3 + -1(v + 3) Reorder the terms: 2 + 4v = -3 + -1(3 + v) 2 + 4v = -3 + (3 * -1 + v * -1) 2 + 4v = -3 + (-3 + -1v) Combine like terms: -3 + -3 = -6 2 + 4v = -6 + -1v Solving 2 + 4v = -6 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 2 + 4v + v = -6 + -1v + v Combine like terms: 4v + v = 5v 2 + 5v = -6 + -1v + v Combine like terms: -1v + v = 0 2 + 5v = -6 + 0 2 + 5v = -6 Add '-2' to each side of the equation. 2 + -2 + 5v = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = -6 + -2 5v = -6 + -2 Combine like terms: -6 + -2 = -8 5v = -8 Divide each side by '5'. v = -1.6 Simplifying v = -1.6
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