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Simplifying 32 = 5v + 6(v + -2) Reorder the terms: 32 = 5v + 6(-2 + v) 32 = 5v + (-2 * 6 + v * 6) 32 = 5v + (-12 + 6v) Reorder the terms: 32 = -12 + 5v + 6v Combine like terms: 5v + 6v = 11v 32 = -12 + 11v Solving 32 = -12 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 32 + -11v = -12 + 11v + -11v Combine like terms: 11v + -11v = 0 32 + -11v = -12 + 0 32 + -11v = -12 Add '-32' to each side of the equation. 32 + -32 + -11v = -12 + -32 Combine like terms: 32 + -32 = 0 0 + -11v = -12 + -32 -11v = -12 + -32 Combine like terms: -12 + -32 = -44 -11v = -44 Divide each side by '-11'. v = 4 Simplifying v = 4
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