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Simplifying 4 + 5(1 + 2v) = 2v + 1 4 + (1 * 5 + 2v * 5) = 2v + 1 4 + (5 + 10v) = 2v + 1 Combine like terms: 4 + 5 = 9 9 + 10v = 2v + 1 Reorder the terms: 9 + 10v = 1 + 2v Solving 9 + 10v = 1 + 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. 9 + 10v + -2v = 1 + 2v + -2v Combine like terms: 10v + -2v = 8v 9 + 8v = 1 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + 8v = 1 + 0 9 + 8v = 1 Add '-9' to each side of the equation. 9 + -9 + 8v = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 8v = 1 + -9 8v = 1 + -9 Combine like terms: 1 + -9 = -8 8v = -8 Divide each side by '8'. v = -1 Simplifying v = -1
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