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Simplifying 5 + -4v = 7 + -5(v + 2) Reorder the terms: 5 + -4v = 7 + -5(2 + v) 5 + -4v = 7 + (2 * -5 + v * -5) 5 + -4v = 7 + (-10 + -5v) Combine like terms: 7 + -10 = -3 5 + -4v = -3 + -5v Solving 5 + -4v = -3 + -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. 5 + -4v + 5v = -3 + -5v + 5v Combine like terms: -4v + 5v = 1v 5 + 1v = -3 + -5v + 5v Combine like terms: -5v + 5v = 0 5 + 1v = -3 + 0 5 + 1v = -3 Add '-5' to each side of the equation. 5 + -5 + 1v = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1v = -3 + -5 1v = -3 + -5 Combine like terms: -3 + -5 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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