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Simplifying 8(1 + -3v) + 1 = -159 (1 * 8 + -3v * 8) + 1 = -159 (8 + -24v) + 1 = -159 Reorder the terms: 8 + 1 + -24v = -159 Combine like terms: 8 + 1 = 9 9 + -24v = -159 Solving 9 + -24v = -159 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -24v = -159 + -9 Combine like terms: 9 + -9 = 0 0 + -24v = -159 + -9 -24v = -159 + -9 Combine like terms: -159 + -9 = -168 -24v = -168 Divide each side by '-24'. v = 7 Simplifying v = 7
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