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Simplifying 40 = 8(2 + v) + -2v 40 = (2 * 8 + v * 8) + -2v 40 = (16 + 8v) + -2v Combine like terms: 8v + -2v = 6v 40 = 16 + 6v Solving 40 = 16 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 40 + -6v = 16 + 6v + -6v Combine like terms: 6v + -6v = 0 40 + -6v = 16 + 0 40 + -6v = 16 Add '-40' to each side of the equation. 40 + -40 + -6v = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -6v = 16 + -40 -6v = 16 + -40 Combine like terms: 16 + -40 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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