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Simplifying 36 + -7v = -6(5 + 2v) + -6 36 + -7v = (5 * -6 + 2v * -6) + -6 36 + -7v = (-30 + -12v) + -6 Reorder the terms: 36 + -7v = -30 + -6 + -12v Combine like terms: -30 + -6 = -36 36 + -7v = -36 + -12v Solving 36 + -7v = -36 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 36 + -7v + 12v = -36 + -12v + 12v Combine like terms: -7v + 12v = 5v 36 + 5v = -36 + -12v + 12v Combine like terms: -12v + 12v = 0 36 + 5v = -36 + 0 36 + 5v = -36 Add '-36' to each side of the equation. 36 + -36 + 5v = -36 + -36 Combine like terms: 36 + -36 = 0 0 + 5v = -36 + -36 5v = -36 + -36 Combine like terms: -36 + -36 = -72 5v = -72 Divide each side by '5'. v = -14.4 Simplifying v = -14.4
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