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Simplifying 5(1 + -8v) + -4 = 161 (1 * 5 + -8v * 5) + -4 = 161 (5 + -40v) + -4 = 161 Reorder the terms: 5 + -4 + -40v = 161 Combine like terms: 5 + -4 = 1 1 + -40v = 161 Solving 1 + -40v = 161 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -40v = 161 + -1 Combine like terms: 1 + -1 = 0 0 + -40v = 161 + -1 -40v = 161 + -1 Combine like terms: 161 + -1 = 160 -40v = 160 Divide each side by '-40'. v = -4 Simplifying v = -4
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