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Simplifying 2v + 5 = 7 + -3(4v + -4) Reorder the terms: 5 + 2v = 7 + -3(4v + -4) Reorder the terms: 5 + 2v = 7 + -3(-4 + 4v) 5 + 2v = 7 + (-4 * -3 + 4v * -3) 5 + 2v = 7 + (12 + -12v) Combine like terms: 7 + 12 = 19 5 + 2v = 19 + -12v Solving 5 + 2v = 19 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 5 + 2v + 12v = 19 + -12v + 12v Combine like terms: 2v + 12v = 14v 5 + 14v = 19 + -12v + 12v Combine like terms: -12v + 12v = 0 5 + 14v = 19 + 0 5 + 14v = 19 Add '-5' to each side of the equation. 5 + -5 + 14v = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 14v = 19 + -5 14v = 19 + -5 Combine like terms: 19 + -5 = 14 14v = 14 Divide each side by '14'. v = 1 Simplifying v = 1
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