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Simplifying -7(v + 2) + 3v + 5 = 5v + 7 Reorder the terms: -7(2 + v) + 3v + 5 = 5v + 7 (2 * -7 + v * -7) + 3v + 5 = 5v + 7 (-14 + -7v) + 3v + 5 = 5v + 7 Reorder the terms: -14 + 5 + -7v + 3v = 5v + 7 Combine like terms: -14 + 5 = -9 -9 + -7v + 3v = 5v + 7 Combine like terms: -7v + 3v = -4v -9 + -4v = 5v + 7 Reorder the terms: -9 + -4v = 7 + 5v Solving -9 + -4v = 7 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -9 + -4v + -5v = 7 + 5v + -5v Combine like terms: -4v + -5v = -9v -9 + -9v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + -9v = 7 + 0 -9 + -9v = 7 Add '9' to each side of the equation. -9 + 9 + -9v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -9v = 7 + 9 -9v = 7 + 9 Combine like terms: 7 + 9 = 16 -9v = 16 Divide each side by '-9'. v = -1.777777778 Simplifying v = -1.777777778
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