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Simplifying 5(2 + -1v) = 7v + -26 (2 * 5 + -1v * 5) = 7v + -26 (10 + -5v) = 7v + -26 Reorder the terms: 10 + -5v = -26 + 7v Solving 10 + -5v = -26 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 10 + -5v + -7v = -26 + 7v + -7v Combine like terms: -5v + -7v = -12v 10 + -12v = -26 + 7v + -7v Combine like terms: 7v + -7v = 0 10 + -12v = -26 + 0 10 + -12v = -26 Add '-10' to each side of the equation. 10 + -10 + -12v = -26 + -10 Combine like terms: 10 + -10 = 0 0 + -12v = -26 + -10 -12v = -26 + -10 Combine like terms: -26 + -10 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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