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Simplifying -6(v + 4) + 4v + 6 = 5v + 7 Reorder the terms: -6(4 + v) + 4v + 6 = 5v + 7 (4 * -6 + v * -6) + 4v + 6 = 5v + 7 (-24 + -6v) + 4v + 6 = 5v + 7 Reorder the terms: -24 + 6 + -6v + 4v = 5v + 7 Combine like terms: -24 + 6 = -18 -18 + -6v + 4v = 5v + 7 Combine like terms: -6v + 4v = -2v -18 + -2v = 5v + 7 Reorder the terms: -18 + -2v = 7 + 5v Solving -18 + -2v = 7 + 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. -18 + -2v + -5v = 7 + 5v + -5v Combine like terms: -2v + -5v = -7v -18 + -7v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -18 + -7v = 7 + 0 -18 + -7v = 7 Add '18' to each side of the equation. -18 + 18 + -7v = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -7v = 7 + 18 -7v = 7 + 18 Combine like terms: 7 + 18 = 25 -7v = 25 Divide each side by '-7'. v = -3.571428571 Simplifying v = -3.571428571
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