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Simplifying -6(v + 2) = 5v + -45 Reorder the terms: -6(2 + v) = 5v + -45 (2 * -6 + v * -6) = 5v + -45 (-12 + -6v) = 5v + -45 Reorder the terms: -12 + -6v = -45 + 5v Solving -12 + -6v = -45 + 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. -12 + -6v + -5v = -45 + 5v + -5v Combine like terms: -6v + -5v = -11v -12 + -11v = -45 + 5v + -5v Combine like terms: 5v + -5v = 0 -12 + -11v = -45 + 0 -12 + -11v = -45 Add '12' to each side of the equation. -12 + 12 + -11v = -45 + 12 Combine like terms: -12 + 12 = 0 0 + -11v = -45 + 12 -11v = -45 + 12 Combine like terms: -45 + 12 = -33 -11v = -33 Divide each side by '-11'. v = 3 Simplifying v = 3
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