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Simplifying 39 + 7v = -3 + -7(-2v + -8) Reorder the terms: 39 + 7v = -3 + -7(-8 + -2v) 39 + 7v = -3 + (-8 * -7 + -2v * -7) 39 + 7v = -3 + (56 + 14v) Combine like terms: -3 + 56 = 53 39 + 7v = 53 + 14v Solving 39 + 7v = 53 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 39 + 7v + -14v = 53 + 14v + -14v Combine like terms: 7v + -14v = -7v 39 + -7v = 53 + 14v + -14v Combine like terms: 14v + -14v = 0 39 + -7v = 53 + 0 39 + -7v = 53 Add '-39' to each side of the equation. 39 + -39 + -7v = 53 + -39 Combine like terms: 39 + -39 = 0 0 + -7v = 53 + -39 -7v = 53 + -39 Combine like terms: 53 + -39 = 14 -7v = 14 Divide each side by '-7'. v = -2 Simplifying v = -2
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