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Simplifying -7(v + 2) + 4v + 6 = 8v + 10 Reorder the terms: -7(2 + v) + 4v + 6 = 8v + 10 (2 * -7 + v * -7) + 4v + 6 = 8v + 10 (-14 + -7v) + 4v + 6 = 8v + 10 Reorder the terms: -14 + 6 + -7v + 4v = 8v + 10 Combine like terms: -14 + 6 = -8 -8 + -7v + 4v = 8v + 10 Combine like terms: -7v + 4v = -3v -8 + -3v = 8v + 10 Reorder the terms: -8 + -3v = 10 + 8v Solving -8 + -3v = 10 + 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. -8 + -3v + -8v = 10 + 8v + -8v Combine like terms: -3v + -8v = -11v -8 + -11v = 10 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -11v = 10 + 0 -8 + -11v = 10 Add '8' to each side of the equation. -8 + 8 + -11v = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -11v = 10 + 8 -11v = 10 + 8 Combine like terms: 10 + 8 = 18 -11v = 18 Divide each side by '-11'. v = -1.636363636 Simplifying v = -1.636363636
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