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Simplifying -19 + 5v = 7(-8v + 6) Reorder the terms: -19 + 5v = 7(6 + -8v) -19 + 5v = (6 * 7 + -8v * 7) -19 + 5v = (42 + -56v) Solving -19 + 5v = 42 + -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. -19 + 5v + 56v = 42 + -56v + 56v Combine like terms: 5v + 56v = 61v -19 + 61v = 42 + -56v + 56v Combine like terms: -56v + 56v = 0 -19 + 61v = 42 + 0 -19 + 61v = 42 Add '19' to each side of the equation. -19 + 19 + 61v = 42 + 19 Combine like terms: -19 + 19 = 0 0 + 61v = 42 + 19 61v = 42 + 19 Combine like terms: 42 + 19 = 61 61v = 61 Divide each side by '61'. v = 1 Simplifying v = 1
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