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Simplifying -5v + -3 = -1v + -3(1 + -8v) Reorder the terms: -3 + -5v = -1v + -3(1 + -8v) -3 + -5v = -1v + (1 * -3 + -8v * -3) -3 + -5v = -1v + (-3 + 24v) Reorder the terms: -3 + -5v = -3 + -1v + 24v Combine like terms: -1v + 24v = 23v -3 + -5v = -3 + 23v Add '3' to each side of the equation. -3 + 3 + -5v = -3 + 3 + 23v Combine like terms: -3 + 3 = 0 0 + -5v = -3 + 3 + 23v -5v = -3 + 3 + 23v Combine like terms: -3 + 3 = 0 -5v = 0 + 23v -5v = 23v Solving -5v = 23v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23v' to each side of the equation. -5v + -23v = 23v + -23v Combine like terms: -5v + -23v = -28v -28v = 23v + -23v Combine like terms: 23v + -23v = 0 -28v = 0 Divide each side by '-28'. v = 0 Simplifying v = 0
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