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Simplifying v + 1 + -2(-7v + -5) = 5(v + -1) Reorder the terms: v + 1 + -2(-5 + -7v) = 5(v + -1) v + 1 + (-5 * -2 + -7v * -2) = 5(v + -1) v + 1 + (10 + 14v) = 5(v + -1) Reorder the terms: 1 + 10 + v + 14v = 5(v + -1) Combine like terms: 1 + 10 = 11 11 + v + 14v = 5(v + -1) Combine like terms: v + 14v = 15v 11 + 15v = 5(v + -1) Reorder the terms: 11 + 15v = 5(-1 + v) 11 + 15v = (-1 * 5 + v * 5) 11 + 15v = (-5 + 5v) Solving 11 + 15v = -5 + 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. 11 + 15v + -5v = -5 + 5v + -5v Combine like terms: 15v + -5v = 10v 11 + 10v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 11 + 10v = -5 + 0 11 + 10v = -5 Add '-11' to each side of the equation. 11 + -11 + 10v = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 10v = -5 + -11 10v = -5 + -11 Combine like terms: -5 + -11 = -16 10v = -16 Divide each side by '10'. v = -1.6 Simplifying v = -1.6
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