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Simplifying 2(8 + -7v) + -1(7 + 4v) = 27 (8 * 2 + -7v * 2) + -1(7 + 4v) = 27 (16 + -14v) + -1(7 + 4v) = 27 16 + -14v + (7 * -1 + 4v * -1) = 27 16 + -14v + (-7 + -4v) = 27 Reorder the terms: 16 + -7 + -14v + -4v = 27 Combine like terms: 16 + -7 = 9 9 + -14v + -4v = 27 Combine like terms: -14v + -4v = -18v 9 + -18v = 27 Solving 9 + -18v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -18v = 27 + -9 Combine like terms: 9 + -9 = 0 0 + -18v = 27 + -9 -18v = 27 + -9 Combine like terms: 27 + -9 = 18 -18v = 18 Divide each side by '-18'. v = -1 Simplifying v = -1
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