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Simplifying 5(v + 8) = 2v + 10 Reorder the terms: 5(8 + v) = 2v + 10 (8 * 5 + v * 5) = 2v + 10 (40 + 5v) = 2v + 10 Reorder the terms: 40 + 5v = 10 + 2v Solving 40 + 5v = 10 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 40 + 5v + -2v = 10 + 2v + -2v Combine like terms: 5v + -2v = 3v 40 + 3v = 10 + 2v + -2v Combine like terms: 2v + -2v = 0 40 + 3v = 10 + 0 40 + 3v = 10 Add '-40' to each side of the equation. 40 + -40 + 3v = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 3v = 10 + -40 3v = 10 + -40 Combine like terms: 10 + -40 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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