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Simplifying -4v + -3(2v + 3) = -21 + -4v Reorder the terms: -4v + -3(3 + 2v) = -21 + -4v -4v + (3 * -3 + 2v * -3) = -21 + -4v -4v + (-9 + -6v) = -21 + -4v Reorder the terms: -9 + -4v + -6v = -21 + -4v Combine like terms: -4v + -6v = -10v -9 + -10v = -21 + -4v Solving -9 + -10v = -21 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -9 + -10v + 4v = -21 + -4v + 4v Combine like terms: -10v + 4v = -6v -9 + -6v = -21 + -4v + 4v Combine like terms: -4v + 4v = 0 -9 + -6v = -21 + 0 -9 + -6v = -21 Add '9' to each side of the equation. -9 + 9 + -6v = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -6v = -21 + 9 -6v = -21 + 9 Combine like terms: -21 + 9 = -12 -6v = -12 Divide each side by '-6'. v = 2 Simplifying v = 2
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