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Simplifying 19(v + 13) = 2(1 + -8v) Reorder the terms: 19(13 + v) = 2(1 + -8v) (13 * 19 + v * 19) = 2(1 + -8v) (247 + 19v) = 2(1 + -8v) 247 + 19v = (1 * 2 + -8v * 2) 247 + 19v = (2 + -16v) Solving 247 + 19v = 2 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. 247 + 19v + 16v = 2 + -16v + 16v Combine like terms: 19v + 16v = 35v 247 + 35v = 2 + -16v + 16v Combine like terms: -16v + 16v = 0 247 + 35v = 2 + 0 247 + 35v = 2 Add '-247' to each side of the equation. 247 + -247 + 35v = 2 + -247 Combine like terms: 247 + -247 = 0 0 + 35v = 2 + -247 35v = 2 + -247 Combine like terms: 2 + -247 = -245 35v = -245 Divide each side by '35'. v = -7 Simplifying v = -7
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