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Simplifying -3(2v + 1) = 21 Reorder the terms: -3(1 + 2v) = 21 (1 * -3 + 2v * -3) = 21 (-3 + -6v) = 21 Solving -3 + -6v = 21 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -6v = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -6v = 21 + 3 -6v = 21 + 3 Combine like terms: 21 + 3 = 24 -6v = 24 Divide each side by '-6'. v = -4 Simplifying v = -4
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