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Simplifying 5v + 23 = 10v + -17 Reorder the terms: 23 + 5v = 10v + -17 Reorder the terms: 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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