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Simplifying 4 + -2(-4v + 1) = 23 + 5v Reorder the terms: 4 + -2(1 + -4v) = 23 + 5v 4 + (1 * -2 + -4v * -2) = 23 + 5v 4 + (-2 + 8v) = 23 + 5v Combine like terms: 4 + -2 = 2 2 + 8v = 23 + 5v Solving 2 + 8v = 23 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 2 + 8v + -5v = 23 + 5v + -5v Combine like terms: 8v + -5v = 3v 2 + 3v = 23 + 5v + -5v Combine like terms: 5v + -5v = 0 2 + 3v = 23 + 0 2 + 3v = 23 Add '-2' to each side of the equation. 2 + -2 + 3v = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 3v = 23 + -2 3v = 23 + -2 Combine like terms: 23 + -2 = 21 3v = 21 Divide each side by '3'. v = 7 Simplifying v = 7
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