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Simplifying -7(v + 2) + 2v + 5 = 8v + 6 Reorder the terms: -7(2 + v) + 2v + 5 = 8v + 6 (2 * -7 + v * -7) + 2v + 5 = 8v + 6 (-14 + -7v) + 2v + 5 = 8v + 6 Reorder the terms: -14 + 5 + -7v + 2v = 8v + 6 Combine like terms: -14 + 5 = -9 -9 + -7v + 2v = 8v + 6 Combine like terms: -7v + 2v = -5v -9 + -5v = 8v + 6 Reorder the terms: -9 + -5v = 6 + 8v Solving -9 + -5v = 6 + 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 + -5v + -8v = 6 + 8v + -8v Combine like terms: -5v + -8v = -13v -9 + -13v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -9 + -13v = 6 + 0 -9 + -13v = 6 Add '9' to each side of the equation. -9 + 9 + -13v = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -13v = 6 + 9 -13v = 6 + 9 Combine like terms: 6 + 9 = 15 -13v = 15 Divide each side by '-13'. v = -1.153846154 Simplifying v = -1.153846154
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