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Simplifying 8(1 + 3v) = -38 + v (1 * 8 + 3v * 8) = -38 + v (8 + 24v) = -38 + v Solving 8 + 24v = -38 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 8 + 24v + -1v = -38 + v + -1v Combine like terms: 24v + -1v = 23v 8 + 23v = -38 + v + -1v Combine like terms: v + -1v = 0 8 + 23v = -38 + 0 8 + 23v = -38 Add '-8' to each side of the equation. 8 + -8 + 23v = -38 + -8 Combine like terms: 8 + -8 = 0 0 + 23v = -38 + -8 23v = -38 + -8 Combine like terms: -38 + -8 = -46 23v = -46 Divide each side by '23'. v = -2 Simplifying v = -2
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