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Simplifying -102 = -6(1 + -4v) -102 = (1 * -6 + -4v * -6) -102 = (-6 + 24v) Solving -102 = -6 + 24v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24v' to each side of the equation. -102 + -24v = -6 + 24v + -24v Combine like terms: 24v + -24v = 0 -102 + -24v = -6 + 0 -102 + -24v = -6 Add '102' to each side of the equation. -102 + 102 + -24v = -6 + 102 Combine like terms: -102 + 102 = 0 0 + -24v = -6 + 102 -24v = -6 + 102 Combine like terms: -6 + 102 = 96 -24v = 96 Divide each side by '-24'. v = -4 Simplifying v = -4
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