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Simplifying 10 = -5v + 3(v + 2) Reorder the terms: 10 = -5v + 3(2 + v) 10 = -5v + (2 * 3 + v * 3) 10 = -5v + (6 + 3v) Reorder the terms: 10 = 6 + -5v + 3v Combine like terms: -5v + 3v = -2v 10 = 6 + -2v Solving 10 = 6 + -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. 10 + 2v = 6 + -2v + 2v Combine like terms: -2v + 2v = 0 10 + 2v = 6 + 0 10 + 2v = 6 Add '-10' to each side of the equation. 10 + -10 + 2v = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 2v = 6 + -10 2v = 6 + -10 Combine like terms: 6 + -10 = -4 2v = -4 Divide each side by '2'. v = -2 Simplifying v = -2
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