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Simplifying -1(1 + 7v) = 3(8 + -2v) + 4v (1 * -1 + 7v * -1) = 3(8 + -2v) + 4v (-1 + -7v) = 3(8 + -2v) + 4v -1 + -7v = (8 * 3 + -2v * 3) + 4v -1 + -7v = (24 + -6v) + 4v Combine like terms: -6v + 4v = -2v -1 + -7v = 24 + -2v Solving -1 + -7v = 24 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -1 + -7v + 2v = 24 + -2v + 2v Combine like terms: -7v + 2v = -5v -1 + -5v = 24 + -2v + 2v Combine like terms: -2v + 2v = 0 -1 + -5v = 24 + 0 -1 + -5v = 24 Add '1' to each side of the equation. -1 + 1 + -5v = 24 + 1 Combine like terms: -1 + 1 = 0 0 + -5v = 24 + 1 -5v = 24 + 1 Combine like terms: 24 + 1 = 25 -5v = 25 Divide each side by '-5'. v = -5 Simplifying v = -5
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