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Simplifying -6(1 + 7v) = 27 (1 * -6 + 7v * -6) = 27 (-6 + -42v) = 27 Solving -6 + -42v = 27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -42v = 27 + 6 Combine like terms: -6 + 6 = 0 0 + -42v = 27 + 6 -42v = 27 + 6 Combine like terms: 27 + 6 = 33 -42v = 33 Divide each side by '-42'. v = -0.7857142857 Simplifying v = -0.7857142857
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