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Simplifying 2(1 + 5v) + 5v = 23 + -6v (1 * 2 + 5v * 2) + 5v = 23 + -6v (2 + 10v) + 5v = 23 + -6v Combine like terms: 10v + 5v = 15v 2 + 15v = 23 + -6v Solving 2 + 15v = 23 + -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. 2 + 15v + 6v = 23 + -6v + 6v Combine like terms: 15v + 6v = 21v 2 + 21v = 23 + -6v + 6v Combine like terms: -6v + 6v = 0 2 + 21v = 23 + 0 2 + 21v = 23 Add '-2' to each side of the equation. 2 + -2 + 21v = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 21v = 23 + -2 21v = 23 + -2 Combine like terms: 23 + -2 = 21 21v = 21 Divide each side by '21'. v = 1 Simplifying v = 1
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