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Simplifying -26 = -2(1 + -3v) + 2(8 + 2v) -26 = (1 * -2 + -3v * -2) + 2(8 + 2v) -26 = (-2 + 6v) + 2(8 + 2v) -26 = -2 + 6v + (8 * 2 + 2v * 2) -26 = -2 + 6v + (16 + 4v) Reorder the terms: -26 = -2 + 16 + 6v + 4v Combine like terms: -2 + 16 = 14 -26 = 14 + 6v + 4v Combine like terms: 6v + 4v = 10v -26 = 14 + 10v Solving -26 = 14 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -26 + -10v = 14 + 10v + -10v Combine like terms: 10v + -10v = 0 -26 + -10v = 14 + 0 -26 + -10v = 14 Add '26' to each side of the equation. -26 + 26 + -10v = 14 + 26 Combine like terms: -26 + 26 = 0 0 + -10v = 14 + 26 -10v = 14 + 26 Combine like terms: 14 + 26 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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