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Simplifying -6(v + 2) + 3v + 6 = 6v + 7 Reorder the terms: -6(2 + v) + 3v + 6 = 6v + 7 (2 * -6 + v * -6) + 3v + 6 = 6v + 7 (-12 + -6v) + 3v + 6 = 6v + 7 Reorder the terms: -12 + 6 + -6v + 3v = 6v + 7 Combine like terms: -12 + 6 = -6 -6 + -6v + 3v = 6v + 7 Combine like terms: -6v + 3v = -3v -6 + -3v = 6v + 7 Reorder the terms: -6 + -3v = 7 + 6v Solving -6 + -3v = 7 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -6 + -3v + -6v = 7 + 6v + -6v Combine like terms: -3v + -6v = -9v -6 + -9v = 7 + 6v + -6v Combine like terms: 6v + -6v = 0 -6 + -9v = 7 + 0 -6 + -9v = 7 Add '6' to each side of the equation. -6 + 6 + -9v = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -9v = 7 + 6 -9v = 7 + 6 Combine like terms: 7 + 6 = 13 -9v = 13 Divide each side by '-9'. v = -1.444444444 Simplifying v = -1.444444444
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