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Simplifying -26 + -7v = -8(5v + 9) Reorder the terms: -26 + -7v = -8(9 + 5v) -26 + -7v = (9 * -8 + 5v * -8) -26 + -7v = (-72 + -40v) Solving -26 + -7v = -72 + -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. -26 + -7v + 40v = -72 + -40v + 40v Combine like terms: -7v + 40v = 33v -26 + 33v = -72 + -40v + 40v Combine like terms: -40v + 40v = 0 -26 + 33v = -72 + 0 -26 + 33v = -72 Add '26' to each side of the equation. -26 + 26 + 33v = -72 + 26 Combine like terms: -26 + 26 = 0 0 + 33v = -72 + 26 33v = -72 + 26 Combine like terms: -72 + 26 = -46 33v = -46 Divide each side by '33'. v = -1.393939394 Simplifying v = -1.393939394
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