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Simplifying 4v + 3 + -3(-5v + -1) = 5(v + -2) Reorder the terms: 4v + 3 + -3(-1 + -5v) = 5(v + -2) 4v + 3 + (-1 * -3 + -5v * -3) = 5(v + -2) 4v + 3 + (3 + 15v) = 5(v + -2) Reorder the terms: 3 + 3 + 4v + 15v = 5(v + -2) Combine like terms: 3 + 3 = 6 6 + 4v + 15v = 5(v + -2) Combine like terms: 4v + 15v = 19v 6 + 19v = 5(v + -2) Reorder the terms: 6 + 19v = 5(-2 + v) 6 + 19v = (-2 * 5 + v * 5) 6 + 19v = (-10 + 5v) Solving 6 + 19v = -10 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 6 + 19v + -5v = -10 + 5v + -5v Combine like terms: 19v + -5v = 14v 6 + 14v = -10 + 5v + -5v Combine like terms: 5v + -5v = 0 6 + 14v = -10 + 0 6 + 14v = -10 Add '-6' to each side of the equation. 6 + -6 + 14v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 14v = -10 + -6 14v = -10 + -6 Combine like terms: -10 + -6 = -16 14v = -16 Divide each side by '14'. v = -1.142857143 Simplifying v = -1.142857143
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