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Simplifying 3(v + 2) = 8v + -4 Reorder the terms: 3(2 + v) = 8v + -4 (2 * 3 + v * 3) = 8v + -4 (6 + 3v) = 8v + -4 Reorder the terms: 6 + 3v = -4 + 8v Solving 6 + 3v = -4 + 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. 6 + 3v + -8v = -4 + 8v + -8v Combine like terms: 3v + -8v = -5v 6 + -5v = -4 + 8v + -8v Combine like terms: 8v + -8v = 0 6 + -5v = -4 + 0 6 + -5v = -4 Add '-6' to each side of the equation. 6 + -6 + -5v = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5v = -4 + -6 -5v = -4 + -6 Combine like terms: -4 + -6 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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