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Simplifying -6(v + 2) + 4v + 7 = 8v + 6 Reorder the terms: -6(2 + v) + 4v + 7 = 8v + 6 (2 * -6 + v * -6) + 4v + 7 = 8v + 6 (-12 + -6v) + 4v + 7 = 8v + 6 Reorder the terms: -12 + 7 + -6v + 4v = 8v + 6 Combine like terms: -12 + 7 = -5 -5 + -6v + 4v = 8v + 6 Combine like terms: -6v + 4v = -2v -5 + -2v = 8v + 6 Reorder the terms: -5 + -2v = 6 + 8v Solving -5 + -2v = 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. -5 + -2v + -8v = 6 + 8v + -8v Combine like terms: -2v + -8v = -10v -5 + -10v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 -5 + -10v = 6 + 0 -5 + -10v = 6 Add '5' to each side of the equation. -5 + 5 + -10v = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -10v = 6 + 5 -10v = 6 + 5 Combine like terms: 6 + 5 = 11 -10v = 11 Divide each side by '-10'. v = -1.1 Simplifying v = -1.1
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