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Simplifying -6(v + 2) + 4v + 7 = 5v + 6 Reorder the terms: -6(2 + v) + 4v + 7 = 5v + 6 (2 * -6 + v * -6) + 4v + 7 = 5v + 6 (-12 + -6v) + 4v + 7 = 5v + 6 Reorder the terms: -12 + 7 + -6v + 4v = 5v + 6 Combine like terms: -12 + 7 = -5 -5 + -6v + 4v = 5v + 6 Combine like terms: -6v + 4v = -2v -5 + -2v = 5v + 6 Reorder the terms: -5 + -2v = 6 + 5v Solving -5 + -2v = 6 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -5 + -2v + -5v = 6 + 5v + -5v Combine like terms: -2v + -5v = -7v -5 + -7v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -5 + -7v = 6 + 0 -5 + -7v = 6 Add '5' to each side of the equation. -5 + 5 + -7v = 6 + 5 Combine like terms: -5 + 5 = 0 0 + -7v = 6 + 5 -7v = 6 + 5 Combine like terms: 6 + 5 = 11 -7v = 11 Divide each side by '-7'. v = -1.571428571 Simplifying v = -1.571428571
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