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Simplifying -3(v + 8) + 2(5 + -7v) = -48 Reorder the terms: -3(8 + v) + 2(5 + -7v) = -48 (8 * -3 + v * -3) + 2(5 + -7v) = -48 (-24 + -3v) + 2(5 + -7v) = -48 -24 + -3v + (5 * 2 + -7v * 2) = -48 -24 + -3v + (10 + -14v) = -48 Reorder the terms: -24 + 10 + -3v + -14v = -48 Combine like terms: -24 + 10 = -14 -14 + -3v + -14v = -48 Combine like terms: -3v + -14v = -17v -14 + -17v = -48 Solving -14 + -17v = -48 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -17v = -48 + 14 Combine like terms: -14 + 14 = 0 0 + -17v = -48 + 14 -17v = -48 + 14 Combine like terms: -48 + 14 = -34 -17v = -34 Divide each side by '-17'. v = 2 Simplifying v = 2
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