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Simplifying -6(v + 8) = 5v + -26 Reorder the terms: -6(8 + v) = 5v + -26 (8 * -6 + v * -6) = 5v + -26 (-48 + -6v) = 5v + -26 Reorder the terms: -48 + -6v = -26 + 5v Solving -48 + -6v = -26 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -48 + -6v + -5v = -26 + 5v + -5v Combine like terms: -6v + -5v = -11v -48 + -11v = -26 + 5v + -5v Combine like terms: 5v + -5v = 0 -48 + -11v = -26 + 0 -48 + -11v = -26 Add '48' to each side of the equation. -48 + 48 + -11v = -26 + 48 Combine like terms: -48 + 48 = 0 0 + -11v = -26 + 48 -11v = -26 + 48 Combine like terms: -26 + 48 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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