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Simplifying -7(v + 2) + 3v + 6 = 6v + 9 Reorder the terms: -7(2 + v) + 3v + 6 = 6v + 9 (2 * -7 + v * -7) + 3v + 6 = 6v + 9 (-14 + -7v) + 3v + 6 = 6v + 9 Reorder the terms: -14 + 6 + -7v + 3v = 6v + 9 Combine like terms: -14 + 6 = -8 -8 + -7v + 3v = 6v + 9 Combine like terms: -7v + 3v = -4v -8 + -4v = 6v + 9 Reorder the terms: -8 + -4v = 9 + 6v Solving -8 + -4v = 9 + 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. -8 + -4v + -6v = 9 + 6v + -6v Combine like terms: -4v + -6v = -10v -8 + -10v = 9 + 6v + -6v Combine like terms: 6v + -6v = 0 -8 + -10v = 9 + 0 -8 + -10v = 9 Add '8' to each side of the equation. -8 + 8 + -10v = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = 9 + 8 -10v = 9 + 8 Combine like terms: 9 + 8 = 17 -10v = 17 Divide each side by '-10'. v = -1.7 Simplifying v = -1.7
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