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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 = -37 27 = -37 + 14v + -30v Combine like terms: 14v + -30v = -16v 27 = -37 + -16v Solving 27 = -37 + -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. 27 + 16v = -37 + -16v + 16v Combine like terms: -16v + 16v = 0 27 + 16v = -37 + 0 27 + 16v = -37 Add '-27' to each side of the equation. 27 + -27 + 16v = -37 + -27 Combine like terms: 27 + -27 = 0 0 + 16v = -37 + -27 16v = -37 + -27 Combine like terms: -37 + -27 = -64 16v = -64 Divide each side by '16'. v = -4 Simplifying v = -4
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