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Simplifying -8(-6x + 3v + -5) = 0 Reorder the terms: -8(-5 + 3v + -6x) = 0 (-5 * -8 + 3v * -8 + -6x * -8) = 0 (40 + -24v + 48x) = 0 Solving 40 + -24v + 48x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -24v + -40 + 48x = 0 + -40 Reorder the terms: 40 + -40 + -24v + 48x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -24v + 48x = 0 + -40 -24v + 48x = 0 + -40 Combine like terms: 0 + -40 = -40 -24v + 48x = -40 Add '-48x' to each side of the equation. -24v + 48x + -48x = -40 + -48x Combine like terms: 48x + -48x = 0 -24v + 0 = -40 + -48x -24v = -40 + -48x Divide each side by '-24'. v = 1.666666667 + 2x Simplifying v = 1.666666667 + 2x
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