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Simplifying -7(-2v + 8) + -3 = -5 + 5v Reorder the terms: -7(8 + -2v) + -3 = -5 + 5v (8 * -7 + -2v * -7) + -3 = -5 + 5v (-56 + 14v) + -3 = -5 + 5v Reorder the terms: -56 + -3 + 14v = -5 + 5v Combine like terms: -56 + -3 = -59 -59 + 14v = -5 + 5v Solving -59 + 14v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -59 + 14v + -5v = -5 + 5v + -5v Combine like terms: 14v + -5v = 9v -59 + 9v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 -59 + 9v = -5 + 0 -59 + 9v = -5 Add '59' to each side of the equation. -59 + 59 + 9v = -5 + 59 Combine like terms: -59 + 59 = 0 0 + 9v = -5 + 59 9v = -5 + 59 Combine like terms: -5 + 59 = 54 9v = 54 Divide each side by '9'. v = 6 Simplifying v = 6
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