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Simplifying 8 + -1(6v + 7) = 6v + -1 Reorder the terms: 8 + -1(7 + 6v) = 6v + -1 8 + (7 * -1 + 6v * -1) = 6v + -1 8 + (-7 + -6v) = 6v + -1 Combine like terms: 8 + -7 = 1 1 + -6v = 6v + -1 Reorder the terms: 1 + -6v = -1 + 6v Solving 1 + -6v = -1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 1 + -6v + -6v = -1 + 6v + -6v Combine like terms: -6v + -6v = -12v 1 + -12v = -1 + 6v + -6v Combine like terms: 6v + -6v = 0 1 + -12v = -1 + 0 1 + -12v = -1 Add '-1' to each side of the equation. 1 + -1 + -12v = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -12v = -1 + -1 -12v = -1 + -1 Combine like terms: -1 + -1 = -2 -12v = -2 Divide each side by '-12'. v = 0.1666666667 Simplifying v = 0.1666666667
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