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Simplifying -7(v + 2) + 3v + 7 = 8v + 10 Reorder the terms: -7(2 + v) + 3v + 7 = 8v + 10 (2 * -7 + v * -7) + 3v + 7 = 8v + 10 (-14 + -7v) + 3v + 7 = 8v + 10 Reorder the terms: -14 + 7 + -7v + 3v = 8v + 10 Combine like terms: -14 + 7 = -7 -7 + -7v + 3v = 8v + 10 Combine like terms: -7v + 3v = -4v -7 + -4v = 8v + 10 Reorder the terms: -7 + -4v = 10 + 8v Solving -7 + -4v = 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. -7 + -4v + -8v = 10 + 8v + -8v Combine like terms: -4v + -8v = -12v -7 + -12v = 10 + 8v + -8v Combine like terms: 8v + -8v = 0 -7 + -12v = 10 + 0 -7 + -12v = 10 Add '7' to each side of the equation. -7 + 7 + -12v = 10 + 7 Combine like terms: -7 + 7 = 0 0 + -12v = 10 + 7 -12v = 10 + 7 Combine like terms: 10 + 7 = 17 -12v = 17 Divide each side by '-12'. v = -1.416666667 Simplifying v = -1.416666667
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