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Simplifying 5(v + -2) + -7v = -26 Reorder the terms: 5(-2 + v) + -7v = -26 (-2 * 5 + v * 5) + -7v = -26 (-10 + 5v) + -7v = -26 Combine like terms: 5v + -7v = -2v -10 + -2v = -26 Solving -10 + -2v = -26 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2v = -26 + 10 Combine like terms: -10 + 10 = 0 0 + -2v = -26 + 10 -2v = -26 + 10 Combine like terms: -26 + 10 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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