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Simplifying 4 + -2(-4 + -6v) = 7v + 27 4 + (-4 * -2 + -6v * -2) = 7v + 27 4 + (8 + 12v) = 7v + 27 Combine like terms: 4 + 8 = 12 12 + 12v = 7v + 27 Reorder the terms: 12 + 12v = 27 + 7v Solving 12 + 12v = 27 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 12 + 12v + -7v = 27 + 7v + -7v Combine like terms: 12v + -7v = 5v 12 + 5v = 27 + 7v + -7v Combine like terms: 7v + -7v = 0 12 + 5v = 27 + 0 12 + 5v = 27 Add '-12' to each side of the equation. 12 + -12 + 5v = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5v = 27 + -12 5v = 27 + -12 Combine like terms: 27 + -12 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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