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Simplifying 5 + 4(2v + 1) = 6v + -5 Reorder the terms: 5 + 4(1 + 2v) = 6v + -5 5 + (1 * 4 + 2v * 4) = 6v + -5 5 + (4 + 8v) = 6v + -5 Combine like terms: 5 + 4 = 9 9 + 8v = 6v + -5 Reorder the terms: 9 + 8v = -5 + 6v Solving 9 + 8v = -5 + 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. 9 + 8v + -6v = -5 + 6v + -6v Combine like terms: 8v + -6v = 2v 9 + 2v = -5 + 6v + -6v Combine like terms: 6v + -6v = 0 9 + 2v = -5 + 0 9 + 2v = -5 Add '-9' to each side of the equation. 9 + -9 + 2v = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = -5 + -9 2v = -5 + -9 Combine like terms: -5 + -9 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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