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Simplifying -1v + 8(5 + -3v) = 40 + 3v -1v + (5 * 8 + -3v * 8) = 40 + 3v -1v + (40 + -24v) = 40 + 3v Reorder the terms: 40 + -1v + -24v = 40 + 3v Combine like terms: -1v + -24v = -25v 40 + -25v = 40 + 3v Add '-40' to each side of the equation. 40 + -40 + -25v = 40 + -40 + 3v Combine like terms: 40 + -40 = 0 0 + -25v = 40 + -40 + 3v -25v = 40 + -40 + 3v Combine like terms: 40 + -40 = 0 -25v = 0 + 3v -25v = 3v Solving -25v = 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -25v + -3v = 3v + -3v Combine like terms: -25v + -3v = -28v -28v = 3v + -3v Combine like terms: 3v + -3v = 0 -28v = 0 Divide each side by '-28'. v = 0 Simplifying v = 0
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