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Simplifying 5(v + -2) + -7 = -3(-5v + 5) + -4v Reorder the terms: 5(-2 + v) + -7 = -3(-5v + 5) + -4v (-2 * 5 + v * 5) + -7 = -3(-5v + 5) + -4v (-10 + 5v) + -7 = -3(-5v + 5) + -4v Reorder the terms: -10 + -7 + 5v = -3(-5v + 5) + -4v Combine like terms: -10 + -7 = -17 -17 + 5v = -3(-5v + 5) + -4v Reorder the terms: -17 + 5v = -3(5 + -5v) + -4v -17 + 5v = (5 * -3 + -5v * -3) + -4v -17 + 5v = (-15 + 15v) + -4v Combine like terms: 15v + -4v = 11v -17 + 5v = -15 + 11v Solving -17 + 5v = -15 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -17 + 5v + -11v = -15 + 11v + -11v Combine like terms: 5v + -11v = -6v -17 + -6v = -15 + 11v + -11v Combine like terms: 11v + -11v = 0 -17 + -6v = -15 + 0 -17 + -6v = -15 Add '17' to each side of the equation. -17 + 17 + -6v = -15 + 17 Combine like terms: -17 + 17 = 0 0 + -6v = -15 + 17 -6v = -15 + 17 Combine like terms: -15 + 17 = 2 -6v = 2 Divide each side by '-6'. v = -0.3333333333 Simplifying v = -0.3333333333
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