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Simplifying 3(v + 7) + -8v = -9 Reorder the terms: 3(7 + v) + -8v = -9 (7 * 3 + v * 3) + -8v = -9 (21 + 3v) + -8v = -9 Combine like terms: 3v + -8v = -5v 21 + -5v = -9 Solving 21 + -5v = -9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5v = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -5v = -9 + -21 -5v = -9 + -21 Combine like terms: -9 + -21 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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