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Simplifying -7(3v + 3) + -3(v + -8) = 21 Reorder the terms: -7(3 + 3v) + -3(v + -8) = 21 (3 * -7 + 3v * -7) + -3(v + -8) = 21 (-21 + -21v) + -3(v + -8) = 21 Reorder the terms: -21 + -21v + -3(-8 + v) = 21 -21 + -21v + (-8 * -3 + v * -3) = 21 -21 + -21v + (24 + -3v) = 21 Reorder the terms: -21 + 24 + -21v + -3v = 21 Combine like terms: -21 + 24 = 3 3 + -21v + -3v = 21 Combine like terms: -21v + -3v = -24v 3 + -24v = 21 Solving 3 + -24v = 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 + -24v = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -24v = 21 + -3 -24v = 21 + -3 Combine like terms: 21 + -3 = 18 -24v = 18 Divide each side by '-24'. v = -0.75 Simplifying v = -0.75
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