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Simplifying -6(v + 2) + 4v + 5 = 7v + 12 Reorder the terms: -6(2 + v) + 4v + 5 = 7v + 12 (2 * -6 + v * -6) + 4v + 5 = 7v + 12 (-12 + -6v) + 4v + 5 = 7v + 12 Reorder the terms: -12 + 5 + -6v + 4v = 7v + 12 Combine like terms: -12 + 5 = -7 -7 + -6v + 4v = 7v + 12 Combine like terms: -6v + 4v = -2v -7 + -2v = 7v + 12 Reorder the terms: -7 + -2v = 12 + 7v Solving -7 + -2v = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -7 + -2v + -7v = 12 + 7v + -7v Combine like terms: -2v + -7v = -9v -7 + -9v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -7 + -9v = 12 + 0 -7 + -9v = 12 Add '7' to each side of the equation. -7 + 7 + -9v = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -9v = 12 + 7 -9v = 12 + 7 Combine like terms: 12 + 7 = 19 -9v = 19 Divide each side by '-9'. v = -2.111111111 Simplifying v = -2.111111111
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