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Simplifying -7(8v + 5) = 22 + v Reorder the terms: -7(5 + 8v) = 22 + v (5 * -7 + 8v * -7) = 22 + v (-35 + -56v) = 22 + v Solving -35 + -56v = 22 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -35 + -56v + -1v = 22 + v + -1v Combine like terms: -56v + -1v = -57v -35 + -57v = 22 + v + -1v Combine like terms: v + -1v = 0 -35 + -57v = 22 + 0 -35 + -57v = 22 Add '35' to each side of the equation. -35 + 35 + -57v = 22 + 35 Combine like terms: -35 + 35 = 0 0 + -57v = 22 + 35 -57v = 22 + 35 Combine like terms: 22 + 35 = 57 -57v = 57 Divide each side by '-57'. v = -1 Simplifying v = -1
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