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Simplifying 8 + -1(3v + 7) = 3v + -1 Reorder the terms: 8 + -1(7 + 3v) = 3v + -1 8 + (7 * -1 + 3v * -1) = 3v + -1 8 + (-7 + -3v) = 3v + -1 Combine like terms: 8 + -7 = 1 1 + -3v = 3v + -1 Reorder the terms: 1 + -3v = -1 + 3v Solving 1 + -3v = -1 + 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. 1 + -3v + -3v = -1 + 3v + -3v Combine like terms: -3v + -3v = -6v 1 + -6v = -1 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + -6v = -1 + 0 1 + -6v = -1 Add '-1' to each side of the equation. 1 + -1 + -6v = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -6v = -1 + -1 -6v = -1 + -1 Combine like terms: -1 + -1 = -2 -6v = -2 Divide each side by '-6'. v = 0.3333333333 Simplifying v = 0.3333333333
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