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Simplifying 7(v + -2) = 5v + 6 Reorder the terms: 7(-2 + v) = 5v + 6 (-2 * 7 + v * 7) = 5v + 6 (-14 + 7v) = 5v + 6 Reorder the terms: -14 + 7v = 6 + 5v Solving -14 + 7v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -14 + 7v + -5v = 6 + 5v + -5v Combine like terms: 7v + -5v = 2v -14 + 2v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -14 + 2v = 6 + 0 -14 + 2v = 6 Add '14' to each side of the equation. -14 + 14 + 2v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 2v = 6 + 14 2v = 6 + 14 Combine like terms: 6 + 14 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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