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Simplifying -26 = -2v + 8(v + -7) Reorder the terms: -26 = -2v + 8(-7 + v) -26 = -2v + (-7 * 8 + v * 8) -26 = -2v + (-56 + 8v) Reorder the terms: -26 = -56 + -2v + 8v Combine like terms: -2v + 8v = 6v -26 = -56 + 6v Solving -26 = -56 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -26 + -6v = -56 + 6v + -6v Combine like terms: 6v + -6v = 0 -26 + -6v = -56 + 0 -26 + -6v = -56 Add '26' to each side of the equation. -26 + 26 + -6v = -56 + 26 Combine like terms: -26 + 26 = 0 0 + -6v = -56 + 26 -6v = -56 + 26 Combine like terms: -56 + 26 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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