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Simplifying -26 + -8v = 7(5v + -6) Reorder the terms: -26 + -8v = 7(-6 + 5v) -26 + -8v = (-6 * 7 + 5v * 7) -26 + -8v = (-42 + 35v) Solving -26 + -8v = -42 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -26 + -8v + -35v = -42 + 35v + -35v Combine like terms: -8v + -35v = -43v -26 + -43v = -42 + 35v + -35v Combine like terms: 35v + -35v = 0 -26 + -43v = -42 + 0 -26 + -43v = -42 Add '26' to each side of the equation. -26 + 26 + -43v = -42 + 26 Combine like terms: -26 + 26 = 0 0 + -43v = -42 + 26 -43v = -42 + 26 Combine like terms: -42 + 26 = -16 -43v = -16 Divide each side by '-43'. v = 0.3720930233 Simplifying v = 0.3720930233
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