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Simplifying -5(v + 9) = 6v + 32 Reorder the terms: -5(9 + v) = 6v + 32 (9 * -5 + v * -5) = 6v + 32 (-45 + -5v) = 6v + 32 Reorder the terms: -45 + -5v = 32 + 6v Solving -45 + -5v = 32 + 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. -45 + -5v + -6v = 32 + 6v + -6v Combine like terms: -5v + -6v = -11v -45 + -11v = 32 + 6v + -6v Combine like terms: 6v + -6v = 0 -45 + -11v = 32 + 0 -45 + -11v = 32 Add '45' to each side of the equation. -45 + 45 + -11v = 32 + 45 Combine like terms: -45 + 45 = 0 0 + -11v = 32 + 45 -11v = 32 + 45 Combine like terms: 32 + 45 = 77 -11v = 77 Divide each side by '-11'. v = -7 Simplifying v = -7
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