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Simplifying 3(1 + -7v) + -8v = -3v + 3 (1 * 3 + -7v * 3) + -8v = -3v + 3 (3 + -21v) + -8v = -3v + 3 Combine like terms: -21v + -8v = -29v 3 + -29v = -3v + 3 Reorder the terms: 3 + -29v = 3 + -3v Add '-3' to each side of the equation. 3 + -3 + -29v = 3 + -3 + -3v Combine like terms: 3 + -3 = 0 0 + -29v = 3 + -3 + -3v -29v = 3 + -3 + -3v Combine like terms: 3 + -3 = 0 -29v = 0 + -3v -29v = -3v Solving -29v = -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. -29v + 3v = -3v + 3v Combine like terms: -29v + 3v = -26v -26v = -3v + 3v Combine like terms: -3v + 3v = 0 -26v = 0 Divide each side by '-26'. v = 0 Simplifying v = 0
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