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Simplifying -2(4v + -2) + 7v = 9 + 7(2v + -2) Reorder the terms: -2(-2 + 4v) + 7v = 9 + 7(2v + -2) (-2 * -2 + 4v * -2) + 7v = 9 + 7(2v + -2) (4 + -8v) + 7v = 9 + 7(2v + -2) Combine like terms: -8v + 7v = -1v 4 + -1v = 9 + 7(2v + -2) Reorder the terms: 4 + -1v = 9 + 7(-2 + 2v) 4 + -1v = 9 + (-2 * 7 + 2v * 7) 4 + -1v = 9 + (-14 + 14v) Combine like terms: 9 + -14 = -5 4 + -1v = -5 + 14v Solving 4 + -1v = -5 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 4 + -1v + -14v = -5 + 14v + -14v Combine like terms: -1v + -14v = -15v 4 + -15v = -5 + 14v + -14v Combine like terms: 14v + -14v = 0 4 + -15v = -5 + 0 4 + -15v = -5 Add '-4' to each side of the equation. 4 + -4 + -15v = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -15v = -5 + -4 -15v = -5 + -4 Combine like terms: -5 + -4 = -9 -15v = -9 Divide each side by '-15'. v = 0.6 Simplifying v = 0.6
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