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Simplifying v + 7 + -2(-7v + -2) = 7(v + -1) Reorder the terms: v + 7 + -2(-2 + -7v) = 7(v + -1) v + 7 + (-2 * -2 + -7v * -2) = 7(v + -1) v + 7 + (4 + 14v) = 7(v + -1) Reorder the terms: 7 + 4 + v + 14v = 7(v + -1) Combine like terms: 7 + 4 = 11 11 + v + 14v = 7(v + -1) Combine like terms: v + 14v = 15v 11 + 15v = 7(v + -1) Reorder the terms: 11 + 15v = 7(-1 + v) 11 + 15v = (-1 * 7 + v * 7) 11 + 15v = (-7 + 7v) Solving 11 + 15v = -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. 11 + 15v + -7v = -7 + 7v + -7v Combine like terms: 15v + -7v = 8v 11 + 8v = -7 + 7v + -7v Combine like terms: 7v + -7v = 0 11 + 8v = -7 + 0 11 + 8v = -7 Add '-11' to each side of the equation. 11 + -11 + 8v = -7 + -11 Combine like terms: 11 + -11 = 0 0 + 8v = -7 + -11 8v = -7 + -11 Combine like terms: -7 + -11 = -18 8v = -18 Divide each side by '8'. v = -2.25 Simplifying v = -2.25
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