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Simplifying 4v + 7(1 + -3v) = -27 4v + (1 * 7 + -3v * 7) = -27 4v + (7 + -21v) = -27 Reorder the terms: 7 + 4v + -21v = -27 Combine like terms: 4v + -21v = -17v 7 + -17v = -27 Solving 7 + -17v = -27 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -17v = -27 + -7 Combine like terms: 7 + -7 = 0 0 + -17v = -27 + -7 -17v = -27 + -7 Combine like terms: -27 + -7 = -34 -17v = -34 Divide each side by '-17'. v = 2 Simplifying v = 2
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