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Simplifying 4(4 + -8v) = -8v + 40 (4 * 4 + -8v * 4) = -8v + 40 (16 + -32v) = -8v + 40 Reorder the terms: 16 + -32v = 40 + -8v Solving 16 + -32v = 40 + -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. 16 + -32v + 8v = 40 + -8v + 8v Combine like terms: -32v + 8v = -24v 16 + -24v = 40 + -8v + 8v Combine like terms: -8v + 8v = 0 16 + -24v = 40 + 0 16 + -24v = 40 Add '-16' to each side of the equation. 16 + -16 + -24v = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -24v = 40 + -16 -24v = 40 + -16 Combine like terms: 40 + -16 = 24 -24v = 24 Divide each side by '-24'. v = -1 Simplifying v = -1
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