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Simplifying 7v + 1 + -6(-2v + -1) = 7(v + -1) Reorder the terms: 7v + 1 + -6(-1 + -2v) = 7(v + -1) 7v + 1 + (-1 * -6 + -2v * -6) = 7(v + -1) 7v + 1 + (6 + 12v) = 7(v + -1) Reorder the terms: 1 + 6 + 7v + 12v = 7(v + -1) Combine like terms: 1 + 6 = 7 7 + 7v + 12v = 7(v + -1) Combine like terms: 7v + 12v = 19v 7 + 19v = 7(v + -1) Reorder the terms: 7 + 19v = 7(-1 + v) 7 + 19v = (-1 * 7 + v * 7) 7 + 19v = (-7 + 7v) Solving 7 + 19v = -7 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 7 + 19v + -7v = -7 + 7v + -7v Combine like terms: 19v + -7v = 12v 7 + 12v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 7 + 12v = -7 + 0 7 + 12v = -7 Add '-7' to each side of the equation. 7 + -7 + 12v = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 12v = -7 + -7 12v = -7 + -7 Combine like terms: -7 + -7 = -14 12v = -14 Divide each side by '12'. v = -1.166666667 Simplifying v = -1.166666667
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