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Simplifying 5 + -3(1 + 4v) = -27 5 + (1 * -3 + 4v * -3) = -27 5 + (-3 + -12v) = -27 Combine like terms: 5 + -3 = 2 2 + -12v = -27 Solving 2 + -12v = -27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -12v = -27 + -2 Combine like terms: 2 + -2 = 0 0 + -12v = -27 + -2 -12v = -27 + -2 Combine like terms: -27 + -2 = -29 -12v = -29 Divide each side by '-12'. v = 2.416666667 Simplifying v = 2.416666667
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