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Simplifying -8(3v + -5) = 23 + -7v Reorder the terms: -8(-5 + 3v) = 23 + -7v (-5 * -8 + 3v * -8) = 23 + -7v (40 + -24v) = 23 + -7v Solving 40 + -24v = 23 + -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. 40 + -24v + 7v = 23 + -7v + 7v Combine like terms: -24v + 7v = -17v 40 + -17v = 23 + -7v + 7v Combine like terms: -7v + 7v = 0 40 + -17v = 23 + 0 40 + -17v = 23 Add '-40' to each side of the equation. 40 + -40 + -17v = 23 + -40 Combine like terms: 40 + -40 = 0 0 + -17v = 23 + -40 -17v = 23 + -40 Combine like terms: 23 + -40 = -17 -17v = -17 Divide each side by '-17'. v = 1 Simplifying v = 1
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