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Simplifying -3(4v + -8) + 5v = 7(v + 2) Reorder the terms: -3(-8 + 4v) + 5v = 7(v + 2) (-8 * -3 + 4v * -3) + 5v = 7(v + 2) (24 + -12v) + 5v = 7(v + 2) Combine like terms: -12v + 5v = -7v 24 + -7v = 7(v + 2) Reorder the terms: 24 + -7v = 7(2 + v) 24 + -7v = (2 * 7 + v * 7) 24 + -7v = (14 + 7v) Solving 24 + -7v = 14 + 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. 24 + -7v + -7v = 14 + 7v + -7v Combine like terms: -7v + -7v = -14v 24 + -14v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 24 + -14v = 14 + 0 24 + -14v = 14 Add '-24' to each side of the equation. 24 + -24 + -14v = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -14v = 14 + -24 -14v = 14 + -24 Combine like terms: 14 + -24 = -10 -14v = -10 Divide each side by '-14'. v = 0.7142857143 Simplifying v = 0.7142857143
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