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