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Simplifying 2(v + -8) + -1 = -7(-2v + 1) + -6v Reorder the terms: 2(-8 + v) + -1 = -7(-2v + 1) + -6v (-8 * 2 + v * 2) + -1 = -7(-2v + 1) + -6v (-16 + 2v) + -1 = -7(-2v + 1) + -6v Reorder the terms: -16 + -1 + 2v = -7(-2v + 1) + -6v Combine like terms: -16 + -1 = -17 -17 + 2v = -7(-2v + 1) + -6v Reorder the terms: -17 + 2v = -7(1 + -2v) + -6v -17 + 2v = (1 * -7 + -2v * -7) + -6v -17 + 2v = (-7 + 14v) + -6v Combine like terms: 14v + -6v = 8v -17 + 2v = -7 + 8v Solving -17 + 2v = -7 + 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. -17 + 2v + -8v = -7 + 8v + -8v Combine like terms: 2v + -8v = -6v -17 + -6v = -7 + 8v + -8v Combine like terms: 8v + -8v = 0 -17 + -6v = -7 + 0 -17 + -6v = -7 Add '17' to each side of the equation. -17 + 17 + -6v = -7 + 17 Combine like terms: -17 + 17 = 0 0 + -6v = -7 + 17 -6v = -7 + 17 Combine like terms: -7 + 17 = 10 -6v = 10 Divide each side by '-6'. v = -1.666666667 Simplifying v = -1.666666667
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