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Simplifying -7(v + -2) + 4v + 6 = 8v + 8 Reorder the terms: -7(-2 + v) + 4v + 6 = 8v + 8 (-2 * -7 + v * -7) + 4v + 6 = 8v + 8 (14 + -7v) + 4v + 6 = 8v + 8 Reorder the terms: 14 + 6 + -7v + 4v = 8v + 8 Combine like terms: 14 + 6 = 20 20 + -7v + 4v = 8v + 8 Combine like terms: -7v + 4v = -3v 20 + -3v = 8v + 8 Reorder the terms: 20 + -3v = 8 + 8v Solving 20 + -3v = 8 + 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. 20 + -3v + -8v = 8 + 8v + -8v Combine like terms: -3v + -8v = -11v 20 + -11v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 20 + -11v = 8 + 0 20 + -11v = 8 Add '-20' to each side of the equation. 20 + -20 + -11v = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -11v = 8 + -20 -11v = 8 + -20 Combine like terms: 8 + -20 = -12 -11v = -12 Divide each side by '-11'. v = 1.090909091 Simplifying v = 1.090909091
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