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Simplifying 2(-3v + -10) = 6v + 21 Reorder the terms: 2(-10 + -3v) = 6v + 21 (-10 * 2 + -3v * 2) = 6v + 21 (-20 + -6v) = 6v + 21 Reorder the terms: -20 + -6v = 21 + 6v Solving -20 + -6v = 21 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -20 + -6v + -6v = 21 + 6v + -6v Combine like terms: -6v + -6v = -12v -20 + -12v = 21 + 6v + -6v Combine like terms: 6v + -6v = 0 -20 + -12v = 21 + 0 -20 + -12v = 21 Add '20' to each side of the equation. -20 + 20 + -12v = 21 + 20 Combine like terms: -20 + 20 = 0 0 + -12v = 21 + 20 -12v = 21 + 20 Combine like terms: 21 + 20 = 41 -12v = 41 Divide each side by '-12'. v = -3.416666667 Simplifying v = -3.416666667
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