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Simplifying 7(-3v + 2) + -3(v + -2) = -52 Reorder the terms: 7(2 + -3v) + -3(v + -2) = -52 (2 * 7 + -3v * 7) + -3(v + -2) = -52 (14 + -21v) + -3(v + -2) = -52 Reorder the terms: 14 + -21v + -3(-2 + v) = -52 14 + -21v + (-2 * -3 + v * -3) = -52 14 + -21v + (6 + -3v) = -52 Reorder the terms: 14 + 6 + -21v + -3v = -52 Combine like terms: 14 + 6 = 20 20 + -21v + -3v = -52 Combine like terms: -21v + -3v = -24v 20 + -24v = -52 Solving 20 + -24v = -52 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -24v = -52 + -20 Combine like terms: 20 + -20 = 0 0 + -24v = -52 + -20 -24v = -52 + -20 Combine like terms: -52 + -20 = -72 -24v = -72 Divide each side by '-24'. v = 3 Simplifying v = 3
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