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Simplifying -2(1 + 7v) + -1(v + -5) = -57 (1 * -2 + 7v * -2) + -1(v + -5) = -57 (-2 + -14v) + -1(v + -5) = -57 Reorder the terms: -2 + -14v + -1(-5 + v) = -57 -2 + -14v + (-5 * -1 + v * -1) = -57 -2 + -14v + (5 + -1v) = -57 Reorder the terms: -2 + 5 + -14v + -1v = -57 Combine like terms: -2 + 5 = 3 3 + -14v + -1v = -57 Combine like terms: -14v + -1v = -15v 3 + -15v = -57 Solving 3 + -15v = -57 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -15v = -57 + -3 Combine like terms: 3 + -3 = 0 0 + -15v = -57 + -3 -15v = -57 + -3 Combine like terms: -57 + -3 = -60 -15v = -60 Divide each side by '-15'. v = 4 Simplifying v = 4
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