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Simplifying 5v + -7(1 + 8v) = 197 5v + (1 * -7 + 8v * -7) = 197 5v + (-7 + -56v) = 197 Reorder the terms: -7 + 5v + -56v = 197 Combine like terms: 5v + -56v = -51v -7 + -51v = 197 Solving -7 + -51v = 197 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -51v = 197 + 7 Combine like terms: -7 + 7 = 0 0 + -51v = 197 + 7 -51v = 197 + 7 Combine like terms: 197 + 7 = 204 -51v = 204 Divide each side by '-51'. v = -4 Simplifying v = -4
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