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Simplifying -10v + 3(8 + 8v) = -6(v + -4) -10v + (8 * 3 + 8v * 3) = -6(v + -4) -10v + (24 + 24v) = -6(v + -4) Reorder the terms: 24 + -10v + 24v = -6(v + -4) Combine like terms: -10v + 24v = 14v 24 + 14v = -6(v + -4) Reorder the terms: 24 + 14v = -6(-4 + v) 24 + 14v = (-4 * -6 + v * -6) 24 + 14v = (24 + -6v) Add '-24' to each side of the equation. 24 + -24 + 14v = 24 + -24 + -6v Combine like terms: 24 + -24 = 0 0 + 14v = 24 + -24 + -6v 14v = 24 + -24 + -6v Combine like terms: 24 + -24 = 0 14v = 0 + -6v 14v = -6v Solving 14v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 14v + 6v = -6v + 6v Combine like terms: 14v + 6v = 20v 20v = -6v + 6v Combine like terms: -6v + 6v = 0 20v = 0 Divide each side by '20'. v = 0.0 Simplifying v = 0.0
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