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Simplifying -6(v + 2) + 4v + 5 = 6v + 12 Reorder the terms: -6(2 + v) + 4v + 5 = 6v + 12 (2 * -6 + v * -6) + 4v + 5 = 6v + 12 (-12 + -6v) + 4v + 5 = 6v + 12 Reorder the terms: -12 + 5 + -6v + 4v = 6v + 12 Combine like terms: -12 + 5 = -7 -7 + -6v + 4v = 6v + 12 Combine like terms: -6v + 4v = -2v -7 + -2v = 6v + 12 Reorder the terms: -7 + -2v = 12 + 6v Solving -7 + -2v = 12 + 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. -7 + -2v + -6v = 12 + 6v + -6v Combine like terms: -2v + -6v = -8v -7 + -8v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -7 + -8v = 12 + 0 -7 + -8v = 12 Add '7' to each side of the equation. -7 + 7 + -8v = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -8v = 12 + 7 -8v = 12 + 7 Combine like terms: 12 + 7 = 19 -8v = 19 Divide each side by '-8'. v = -2.375 Simplifying v = -2.375
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