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Simplifying -5v + 23 = -2(3v + -8) Reorder the terms: 23 + -5v = -2(3v + -8) Reorder the terms: 23 + -5v = -2(-8 + 3v) 23 + -5v = (-8 * -2 + 3v * -2) 23 + -5v = (16 + -6v) Solving 23 + -5v = 16 + -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. 23 + -5v + 6v = 16 + -6v + 6v Combine like terms: -5v + 6v = 1v 23 + 1v = 16 + -6v + 6v Combine like terms: -6v + 6v = 0 23 + 1v = 16 + 0 23 + 1v = 16 Add '-23' to each side of the equation. 23 + -23 + 1v = 16 + -23 Combine like terms: 23 + -23 = 0 0 + 1v = 16 + -23 1v = 16 + -23 Combine like terms: 16 + -23 = -7 1v = -7 Divide each side by '1'. v = -7 Simplifying v = -7
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