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Simplifying 5v + 5 + -2(-5v + -1) = 3(v + -3) Reorder the terms: 5v + 5 + -2(-1 + -5v) = 3(v + -3) 5v + 5 + (-1 * -2 + -5v * -2) = 3(v + -3) 5v + 5 + (2 + 10v) = 3(v + -3) Reorder the terms: 5 + 2 + 5v + 10v = 3(v + -3) Combine like terms: 5 + 2 = 7 7 + 5v + 10v = 3(v + -3) Combine like terms: 5v + 10v = 15v 7 + 15v = 3(v + -3) Reorder the terms: 7 + 15v = 3(-3 + v) 7 + 15v = (-3 * 3 + v * 3) 7 + 15v = (-9 + 3v) Solving 7 + 15v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 7 + 15v + -3v = -9 + 3v + -3v Combine like terms: 15v + -3v = 12v 7 + 12v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 7 + 12v = -9 + 0 7 + 12v = -9 Add '-7' to each side of the equation. 7 + -7 + 12v = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 12v = -9 + -7 12v = -9 + -7 Combine like terms: -9 + -7 = -16 12v = -16 Divide each side by '12'. v = -1.333333333 Simplifying v = -1.333333333
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