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Simplifying 2 = 6(v + -5) + 2v Reorder the terms: 2 = 6(-5 + v) + 2v 2 = (-5 * 6 + v * 6) + 2v 2 = (-30 + 6v) + 2v Combine like terms: 6v + 2v = 8v 2 = -30 + 8v Solving 2 = -30 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 2 + -8v = -30 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -8v = -30 + 0 2 + -8v = -30 Add '-2' to each side of the equation. 2 + -2 + -8v = -30 + -2 Combine like terms: 2 + -2 = 0 0 + -8v = -30 + -2 -8v = -30 + -2 Combine like terms: -30 + -2 = -32 -8v = -32 Divide each side by '-8'. v = 4 Simplifying v = 4
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