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Simplifying v + -5 + 2(2v + 4) = -7(v + 1) Reorder the terms: v + -5 + 2(4 + 2v) = -7(v + 1) v + -5 + (4 * 2 + 2v * 2) = -7(v + 1) v + -5 + (8 + 4v) = -7(v + 1) Reorder the terms: -5 + 8 + v + 4v = -7(v + 1) Combine like terms: -5 + 8 = 3 3 + v + 4v = -7(v + 1) Combine like terms: v + 4v = 5v 3 + 5v = -7(v + 1) Reorder the terms: 3 + 5v = -7(1 + v) 3 + 5v = (1 * -7 + v * -7) 3 + 5v = (-7 + -7v) Solving 3 + 5v = -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. 3 + 5v + 7v = -7 + -7v + 7v Combine like terms: 5v + 7v = 12v 3 + 12v = -7 + -7v + 7v Combine like terms: -7v + 7v = 0 3 + 12v = -7 + 0 3 + 12v = -7 Add '-3' to each side of the equation. 3 + -3 + 12v = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 12v = -7 + -3 12v = -7 + -3 Combine like terms: -7 + -3 = -10 12v = -10 Divide each side by '12'. v = -0.8333333333 Simplifying v = -0.8333333333
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