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Simplifying -6(v + 4) + 4v + 6 = 7v + 6 Reorder the terms: -6(4 + v) + 4v + 6 = 7v + 6 (4 * -6 + v * -6) + 4v + 6 = 7v + 6 (-24 + -6v) + 4v + 6 = 7v + 6 Reorder the terms: -24 + 6 + -6v + 4v = 7v + 6 Combine like terms: -24 + 6 = -18 -18 + -6v + 4v = 7v + 6 Combine like terms: -6v + 4v = -2v -18 + -2v = 7v + 6 Reorder the terms: -18 + -2v = 6 + 7v Solving -18 + -2v = 6 + 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. -18 + -2v + -7v = 6 + 7v + -7v Combine like terms: -2v + -7v = -9v -18 + -9v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + -9v = 6 + 0 -18 + -9v = 6 Add '18' to each side of the equation. -18 + 18 + -9v = 6 + 18 Combine like terms: -18 + 18 = 0 0 + -9v = 6 + 18 -9v = 6 + 18 Combine like terms: 6 + 18 = 24 -9v = 24 Divide each side by '-9'. v = -2.666666667 Simplifying v = -2.666666667
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