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Simplifying -3(-7v + 3) + 8v = 5v + -1r Reorder the terms: -3(3 + -7v) + 8v = 5v + -1r (3 * -3 + -7v * -3) + 8v = 5v + -1r (-9 + 21v) + 8v = 5v + -1r Combine like terms: 21v + 8v = 29v -9 + 29v = 5v + -1r Reorder the terms: -9 + 29v = -1r + 5v Solving -9 + 29v = -1r + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -9 + 29v + -5v = -1r + 5v + -5v Combine like terms: 29v + -5v = 24v -9 + 24v = -1r + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + 24v = -1r + 0 -9 + 24v = -1r Add '9' to each side of the equation. -9 + 9 + 24v = 9 + -1r Combine like terms: -9 + 9 = 0 0 + 24v = 9 + -1r 24v = 9 + -1r Divide each side by '24'. v = 0.375 + -0.04166666667r Simplifying v = 0.375 + -0.04166666667r
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