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Simplifying 7(-2 + 8v) = 5v + 37 (-2 * 7 + 8v * 7) = 5v + 37 (-14 + 56v) = 5v + 37 Reorder the terms: -14 + 56v = 37 + 5v Solving -14 + 56v = 37 + 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. -14 + 56v + -5v = 37 + 5v + -5v Combine like terms: 56v + -5v = 51v -14 + 51v = 37 + 5v + -5v Combine like terms: 5v + -5v = 0 -14 + 51v = 37 + 0 -14 + 51v = 37 Add '14' to each side of the equation. -14 + 14 + 51v = 37 + 14 Combine like terms: -14 + 14 = 0 0 + 51v = 37 + 14 51v = 37 + 14 Combine like terms: 37 + 14 = 51 51v = 51 Divide each side by '51'. v = 1 Simplifying v = 1
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