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Simplifying -6(v + 2) + 2v + 6 = 6v + 8 Reorder the terms: -6(2 + v) + 2v + 6 = 6v + 8 (2 * -6 + v * -6) + 2v + 6 = 6v + 8 (-12 + -6v) + 2v + 6 = 6v + 8 Reorder the terms: -12 + 6 + -6v + 2v = 6v + 8 Combine like terms: -12 + 6 = -6 -6 + -6v + 2v = 6v + 8 Combine like terms: -6v + 2v = -4v -6 + -4v = 6v + 8 Reorder the terms: -6 + -4v = 8 + 6v Solving -6 + -4v = 8 + 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 + -4v + -6v = 8 + 6v + -6v Combine like terms: -4v + -6v = -10v -6 + -10v = 8 + 6v + -6v Combine like terms: 6v + -6v = 0 -6 + -10v = 8 + 0 -6 + -10v = 8 Add '6' to each side of the equation. -6 + 6 + -10v = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -10v = 8 + 6 -10v = 8 + 6 Combine like terms: 8 + 6 = 14 -10v = 14 Divide each side by '-10'. v = -1.4 Simplifying v = -1.4
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