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Simplifying -7(v + 2) + 3v + 5 = 8v + 7 Reorder the terms: -7(2 + v) + 3v + 5 = 8v + 7 (2 * -7 + v * -7) + 3v + 5 = 8v + 7 (-14 + -7v) + 3v + 5 = 8v + 7 Reorder the terms: -14 + 5 + -7v + 3v = 8v + 7 Combine like terms: -14 + 5 = -9 -9 + -7v + 3v = 8v + 7 Combine like terms: -7v + 3v = -4v -9 + -4v = 8v + 7 Reorder the terms: -9 + -4v = 7 + 8v Solving -9 + -4v = 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. -9 + -4v + -8v = 7 + 8v + -8v Combine like terms: -4v + -8v = -12v -9 + -12v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -9 + -12v = 7 + 0 -9 + -12v = 7 Add '9' to each side of the equation. -9 + 9 + -12v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -12v = 7 + 9 -12v = 7 + 9 Combine like terms: 7 + 9 = 16 -12v = 16 Divide each side by '-12'. v = -1.333333333 Simplifying v = -1.333333333
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