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Simplifying 3(v + 8) = 6(v + -2) Reorder the terms: 3(8 + v) = 6(v + -2) (8 * 3 + v * 3) = 6(v + -2) (24 + 3v) = 6(v + -2) Reorder the terms: 24 + 3v = 6(-2 + v) 24 + 3v = (-2 * 6 + v * 6) 24 + 3v = (-12 + 6v) Solving 24 + 3v = -12 + 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. 24 + 3v + -6v = -12 + 6v + -6v Combine like terms: 3v + -6v = -3v 24 + -3v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + -3v = -12 + 0 24 + -3v = -12 Add '-24' to each side of the equation. 24 + -24 + -3v = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -3v = -12 + -24 -3v = -12 + -24 Combine like terms: -12 + -24 = -36 -3v = -36 Divide each side by '-3'. v = 12 Simplifying v = 12
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