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Simplifying -8v + 5(v + 4) = -1 Reorder the terms: -8v + 5(4 + v) = -1 -8v + (4 * 5 + v * 5) = -1 -8v + (20 + 5v) = -1 Reorder the terms: 20 + -8v + 5v = -1 Combine like terms: -8v + 5v = -3v 20 + -3v = -1 Solving 20 + -3v = -1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3v = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -3v = -1 + -20 -3v = -1 + -20 Combine like terms: -1 + -20 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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