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Simplifying 5 + -1(v + -3) = 7 + -2v Reorder the terms: 5 + -1(-3 + v) = 7 + -2v 5 + (-3 * -1 + v * -1) = 7 + -2v 5 + (3 + -1v) = 7 + -2v Combine like terms: 5 + 3 = 8 8 + -1v = 7 + -2v Solving 8 + -1v = 7 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 8 + -1v + 2v = 7 + -2v + 2v Combine like terms: -1v + 2v = 1v 8 + 1v = 7 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + 1v = 7 + 0 8 + 1v = 7 Add '-8' to each side of the equation. 8 + -8 + 1v = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 1v = 7 + -8 1v = 7 + -8 Combine like terms: 7 + -8 = -1 1v = -1 Divide each side by '1'. v = -1 Simplifying v = -1
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