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Simplifying -10 = 2v + 4[v + 8] Reorder the terms: -10 = 2v + 4[8 + v] -10 = 2v + [8 * 4 + v * 4] -10 = 2v + [32 + 4v] Reorder the terms: -10 = 32 + 2v + 4v Combine like terms: 2v + 4v = 6v -10 = 32 + 6v Solving -10 = 32 + 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. -10 + -6v = 32 + 6v + -6v Combine like terms: 6v + -6v = 0 -10 + -6v = 32 + 0 -10 + -6v = 32 Add '10' to each side of the equation. -10 + 10 + -6v = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -6v = 32 + 10 -6v = 32 + 10 Combine like terms: 32 + 10 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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