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Simplifying 3(v + 7) + -1 = 40 + 8v Reorder the terms: 3(7 + v) + -1 = 40 + 8v (7 * 3 + v * 3) + -1 = 40 + 8v (21 + 3v) + -1 = 40 + 8v Reorder the terms: 21 + -1 + 3v = 40 + 8v Combine like terms: 21 + -1 = 20 20 + 3v = 40 + 8v Solving 20 + 3v = 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. 20 + 3v + -8v = 40 + 8v + -8v Combine like terms: 3v + -8v = -5v 20 + -5v = 40 + 8v + -8v Combine like terms: 8v + -8v = 0 20 + -5v = 40 + 0 20 + -5v = 40 Add '-20' to each side of the equation. 20 + -20 + -5v = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -5v = 40 + -20 -5v = 40 + -20 Combine like terms: 40 + -20 = 20 -5v = 20 Divide each side by '-5'. v = -4 Simplifying v = -4
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