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Simplifying 3(v + 3) + -6v = 21 Reorder the terms: 3(3 + v) + -6v = 21 (3 * 3 + v * 3) + -6v = 21 (9 + 3v) + -6v = 21 Combine like terms: 3v + -6v = -3v 9 + -3v = 21 Solving 9 + -3v = 21 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 + -3v = 21 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = 21 + -9 -3v = 21 + -9 Combine like terms: 21 + -9 = 12 -3v = 12 Divide each side by '-3'. v = -4 Simplifying v = -4
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