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Simplifying -3v + -2(1 + -1v) = -8(7 + -1v) -3v + (1 * -2 + -1v * -2) = -8(7 + -1v) -3v + (-2 + 2v) = -8(7 + -1v) Reorder the terms: -2 + -3v + 2v = -8(7 + -1v) Combine like terms: -3v + 2v = -1v -2 + -1v = -8(7 + -1v) -2 + -1v = (7 * -8 + -1v * -8) -2 + -1v = (-56 + 8v) Solving -2 + -1v = -56 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -2 + -1v + -8v = -56 + 8v + -8v Combine like terms: -1v + -8v = -9v -2 + -9v = -56 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + -9v = -56 + 0 -2 + -9v = -56 Add '2' to each side of the equation. -2 + 2 + -9v = -56 + 2 Combine like terms: -2 + 2 = 0 0 + -9v = -56 + 2 -9v = -56 + 2 Combine like terms: -56 + 2 = -54 -9v = -54 Divide each side by '-9'. v = 6 Simplifying v = 6
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