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Simplifying -23 + 3v = -2(4 + -3v) + 2v -23 + 3v = (4 * -2 + -3v * -2) + 2v -23 + 3v = (-8 + 6v) + 2v Combine like terms: 6v + 2v = 8v -23 + 3v = -8 + 8v Solving -23 + 3v = -8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -23 + 3v + -8v = -8 + 8v + -8v Combine like terms: 3v + -8v = -5v -23 + -5v = -8 + 8v + -8v Combine like terms: 8v + -8v = 0 -23 + -5v = -8 + 0 -23 + -5v = -8 Add '23' to each side of the equation. -23 + 23 + -5v = -8 + 23 Combine like terms: -23 + 23 = 0 0 + -5v = -8 + 23 -5v = -8 + 23 Combine like terms: -8 + 23 = 15 -5v = 15 Divide each side by '-5'. v = -3 Simplifying v = -3
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