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Simplifying 7 + 6(5v + 7) = -26 + 5v Reorder the terms: 7 + 6(7 + 5v) = -26 + 5v 7 + (7 * 6 + 5v * 6) = -26 + 5v 7 + (42 + 30v) = -26 + 5v Combine like terms: 7 + 42 = 49 49 + 30v = -26 + 5v Solving 49 + 30v = -26 + 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. 49 + 30v + -5v = -26 + 5v + -5v Combine like terms: 30v + -5v = 25v 49 + 25v = -26 + 5v + -5v Combine like terms: 5v + -5v = 0 49 + 25v = -26 + 0 49 + 25v = -26 Add '-49' to each side of the equation. 49 + -49 + 25v = -26 + -49 Combine like terms: 49 + -49 = 0 0 + 25v = -26 + -49 25v = -26 + -49 Combine like terms: -26 + -49 = -75 25v = -75 Divide each side by '25'. v = -3 Simplifying v = -3
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