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Simplifying -3(-5 + 8v) + -4 = -37 + -8v (-5 * -3 + 8v * -3) + -4 = -37 + -8v (15 + -24v) + -4 = -37 + -8v Reorder the terms: 15 + -4 + -24v = -37 + -8v Combine like terms: 15 + -4 = 11 11 + -24v = -37 + -8v Solving 11 + -24v = -37 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 11 + -24v + 8v = -37 + -8v + 8v Combine like terms: -24v + 8v = -16v 11 + -16v = -37 + -8v + 8v Combine like terms: -8v + 8v = 0 11 + -16v = -37 + 0 11 + -16v = -37 Add '-11' to each side of the equation. 11 + -11 + -16v = -37 + -11 Combine like terms: 11 + -11 = 0 0 + -16v = -37 + -11 -16v = -37 + -11 Combine like terms: -37 + -11 = -48 -16v = -48 Divide each side by '-16'. v = 3 Simplifying v = 3
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