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Simplifying -8(3v + -6) = -37 + -7v Reorder the terms: -8(-6 + 3v) = -37 + -7v (-6 * -8 + 3v * -8) = -37 + -7v (48 + -24v) = -37 + -7v Solving 48 + -24v = -37 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 48 + -24v + 7v = -37 + -7v + 7v Combine like terms: -24v + 7v = -17v 48 + -17v = -37 + -7v + 7v Combine like terms: -7v + 7v = 0 48 + -17v = -37 + 0 48 + -17v = -37 Add '-48' to each side of the equation. 48 + -48 + -17v = -37 + -48 Combine like terms: 48 + -48 = 0 0 + -17v = -37 + -48 -17v = -37 + -48 Combine like terms: -37 + -48 = -85 -17v = -85 Divide each side by '-17'. v = 5 Simplifying v = 5
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