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Simplifying 4v + 3 = 7 + -5(2v + -2) Reorder the terms: 3 + 4v = 7 + -5(2v + -2) Reorder the terms: 3 + 4v = 7 + -5(-2 + 2v) 3 + 4v = 7 + (-2 * -5 + 2v * -5) 3 + 4v = 7 + (10 + -10v) Combine like terms: 7 + 10 = 17 3 + 4v = 17 + -10v Solving 3 + 4v = 17 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 3 + 4v + 10v = 17 + -10v + 10v Combine like terms: 4v + 10v = 14v 3 + 14v = 17 + -10v + 10v Combine like terms: -10v + 10v = 0 3 + 14v = 17 + 0 3 + 14v = 17 Add '-3' to each side of the equation. 3 + -3 + 14v = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 14v = 17 + -3 14v = 17 + -3 Combine like terms: 17 + -3 = 14 14v = 14 Divide each side by '14'. v = 1 Simplifying v = 1
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