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Simplifying -2(v + 13) = 62 + 6v Reorder the terms: -2(13 + v) = 62 + 6v (13 * -2 + v * -2) = 62 + 6v (-26 + -2v) = 62 + 6v Solving -26 + -2v = 62 + 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 + -2v + -6v = 62 + 6v + -6v Combine like terms: -2v + -6v = -8v -26 + -8v = 62 + 6v + -6v Combine like terms: 6v + -6v = 0 -26 + -8v = 62 + 0 -26 + -8v = 62 Add '26' to each side of the equation. -26 + 26 + -8v = 62 + 26 Combine like terms: -26 + 26 = 0 0 + -8v = 62 + 26 -8v = 62 + 26 Combine like terms: 62 + 26 = 88 -8v = 88 Divide each side by '-8'. v = -11 Simplifying v = -11
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