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Simplifying 7(6v + -3) = -21 + -3v Reorder the terms: 7(-3 + 6v) = -21 + -3v (-3 * 7 + 6v * 7) = -21 + -3v (-21 + 42v) = -21 + -3v Add '21' to each side of the equation. -21 + 21 + 42v = -21 + 21 + -3v Combine like terms: -21 + 21 = 0 0 + 42v = -21 + 21 + -3v 42v = -21 + 21 + -3v Combine like terms: -21 + 21 = 0 42v = 0 + -3v 42v = -3v Solving 42v = -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 42v + 3v = -3v + 3v Combine like terms: 42v + 3v = 45v 45v = -3v + 3v Combine like terms: -3v + 3v = 0 45v = 0 Divide each side by '45'. v = 0 Simplifying v = 0
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