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Simplifying 7(v + 6) = -5(3v + -8) + 8v Reorder the terms: 7(6 + v) = -5(3v + -8) + 8v (6 * 7 + v * 7) = -5(3v + -8) + 8v (42 + 7v) = -5(3v + -8) + 8v Reorder the terms: 42 + 7v = -5(-8 + 3v) + 8v 42 + 7v = (-8 * -5 + 3v * -5) + 8v 42 + 7v = (40 + -15v) + 8v Combine like terms: -15v + 8v = -7v 42 + 7v = 40 + -7v Solving 42 + 7v = 40 + -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. 42 + 7v + 7v = 40 + -7v + 7v Combine like terms: 7v + 7v = 14v 42 + 14v = 40 + -7v + 7v Combine like terms: -7v + 7v = 0 42 + 14v = 40 + 0 42 + 14v = 40 Add '-42' to each side of the equation. 42 + -42 + 14v = 40 + -42 Combine like terms: 42 + -42 = 0 0 + 14v = 40 + -42 14v = 40 + -42 Combine like terms: 40 + -42 = -2 14v = -2 Divide each side by '14'. v = -0.1428571429 Simplifying v = -0.1428571429
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