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Simplifying 23 + -5v = 5(-2v + -2) + -7 Reorder the terms: 23 + -5v = 5(-2 + -2v) + -7 23 + -5v = (-2 * 5 + -2v * 5) + -7 23 + -5v = (-10 + -10v) + -7 Reorder the terms: 23 + -5v = -10 + -7 + -10v Combine like terms: -10 + -7 = -17 23 + -5v = -17 + -10v Solving 23 + -5v = -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. 23 + -5v + 10v = -17 + -10v + 10v Combine like terms: -5v + 10v = 5v 23 + 5v = -17 + -10v + 10v Combine like terms: -10v + 10v = 0 23 + 5v = -17 + 0 23 + 5v = -17 Add '-23' to each side of the equation. 23 + -23 + 5v = -17 + -23 Combine like terms: 23 + -23 = 0 0 + 5v = -17 + -23 5v = -17 + -23 Combine like terms: -17 + -23 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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