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Simplifying -4(v + 3) + 2v + 6 = 7v + 8 Reorder the terms: -4(3 + v) + 2v + 6 = 7v + 8 (3 * -4 + v * -4) + 2v + 6 = 7v + 8 (-12 + -4v) + 2v + 6 = 7v + 8 Reorder the terms: -12 + 6 + -4v + 2v = 7v + 8 Combine like terms: -12 + 6 = -6 -6 + -4v + 2v = 7v + 8 Combine like terms: -4v + 2v = -2v -6 + -2v = 7v + 8 Reorder the terms: -6 + -2v = 8 + 7v Solving -6 + -2v = 8 + 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. -6 + -2v + -7v = 8 + 7v + -7v Combine like terms: -2v + -7v = -9v -6 + -9v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -6 + -9v = 8 + 0 -6 + -9v = 8 Add '6' to each side of the equation. -6 + 6 + -9v = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -9v = 8 + 6 -9v = 8 + 6 Combine like terms: 8 + 6 = 14 -9v = 14 Divide each side by '-9'. v = -1.555555556 Simplifying v = -1.555555556
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