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Simplifying -8(3v + -6) = -5(5v + -8) Reorder the terms: -8(-6 + 3v) = -5(5v + -8) (-6 * -8 + 3v * -8) = -5(5v + -8) (48 + -24v) = -5(5v + -8) Reorder the terms: 48 + -24v = -5(-8 + 5v) 48 + -24v = (-8 * -5 + 5v * -5) 48 + -24v = (40 + -25v) Solving 48 + -24v = 40 + -25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25v' to each side of the equation. 48 + -24v + 25v = 40 + -25v + 25v Combine like terms: -24v + 25v = 1v 48 + 1v = 40 + -25v + 25v Combine like terms: -25v + 25v = 0 48 + 1v = 40 + 0 48 + 1v = 40 Add '-48' to each side of the equation. 48 + -48 + 1v = 40 + -48 Combine like terms: 48 + -48 = 0 0 + 1v = 40 + -48 1v = 40 + -48 Combine like terms: 40 + -48 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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