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Simplifying 3(v + 3) + -8v = -6 Reorder the terms: 3(3 + v) + -8v = -6 (3 * 3 + v * 3) + -8v = -6 (9 + 3v) + -8v = -6 Combine like terms: 3v + -8v = -5v 9 + -5v = -6 Solving 9 + -5v = -6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5v = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = -6 + -9 -5v = -6 + -9 Combine like terms: -6 + -9 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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