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Simplifying 10 = -2v + 4(v + 6) Reorder the terms: 10 = -2v + 4(6 + v) 10 = -2v + (6 * 4 + v * 4) 10 = -2v + (24 + 4v) Reorder the terms: 10 = 24 + -2v + 4v Combine like terms: -2v + 4v = 2v 10 = 24 + 2v Solving 10 = 24 + 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 = 24 + 2v + -2v Combine like terms: 2v + -2v = 0 10 + -2v = 24 + 0 10 + -2v = 24 Add '-10' to each side of the equation. 10 + -10 + -2v = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2v = 24 + -10 -2v = 24 + -10 Combine like terms: 24 + -10 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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