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Simplifying 27 = 2(1 + -7v) + 5(-7 + -6v) 27 = (1 * 2 + -7v * 2) + 5(-7 + -6v) 27 = (2 + -14v) + 5(-7 + -6v) 27 = 2 + -14v + (-7 * 5 + -6v * 5) 27 = 2 + -14v + (-35 + -30v) Reorder the terms: 27 = 2 + -35 + -14v + -30v Combine like terms: 2 + -35 = -33 27 = -33 + -14v + -30v Combine like terms: -14v + -30v = -44v 27 = -33 + -44v Solving 27 = -33 + -44v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '44v' to each side of the equation. 27 + 44v = -33 + -44v + 44v Combine like terms: -44v + 44v = 0 27 + 44v = -33 + 0 27 + 44v = -33 Add '-27' to each side of the equation. 27 + -27 + 44v = -33 + -27 Combine like terms: 27 + -27 = 0 0 + 44v = -33 + -27 44v = -33 + -27 Combine like terms: -33 + -27 = -60 44v = -60 Divide each side by '44'. v = -1.363636364 Simplifying v = -1.363636364
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