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Simplifying -4(v + 2) + 2v + 7 = 7v + 6 Reorder the terms: -4(2 + v) + 2v + 7 = 7v + 6 (2 * -4 + v * -4) + 2v + 7 = 7v + 6 (-8 + -4v) + 2v + 7 = 7v + 6 Reorder the terms: -8 + 7 + -4v + 2v = 7v + 6 Combine like terms: -8 + 7 = -1 -1 + -4v + 2v = 7v + 6 Combine like terms: -4v + 2v = -2v -1 + -2v = 7v + 6 Reorder the terms: -1 + -2v = 6 + 7v Solving -1 + -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. -1 + -2v + -7v = 6 + 7v + -7v Combine like terms: -2v + -7v = -9v -1 + -9v = 6 + 7v + -7v Combine like terms: 7v + -7v = 0 -1 + -9v = 6 + 0 -1 + -9v = 6 Add '1' to each side of the equation. -1 + 1 + -9v = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -9v = 6 + 1 -9v = 6 + 1 Combine like terms: 6 + 1 = 7 -9v = 7 Divide each side by '-9'. v = -0.7777777778 Simplifying v = -0.7777777778
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