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Simplifying 4(2 + -8v) + 2 = -38 + -8v (2 * 4 + -8v * 4) + 2 = -38 + -8v (8 + -32v) + 2 = -38 + -8v Reorder the terms: 8 + 2 + -32v = -38 + -8v Combine like terms: 8 + 2 = 10 10 + -32v = -38 + -8v Solving 10 + -32v = -38 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 10 + -32v + 8v = -38 + -8v + 8v Combine like terms: -32v + 8v = -24v 10 + -24v = -38 + -8v + 8v Combine like terms: -8v + 8v = 0 10 + -24v = -38 + 0 10 + -24v = -38 Add '-10' to each side of the equation. 10 + -10 + -24v = -38 + -10 Combine like terms: 10 + -10 = 0 0 + -24v = -38 + -10 -24v = -38 + -10 Combine like terms: -38 + -10 = -48 -24v = -48 Divide each side by '-24'. v = 2 Simplifying v = 2
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