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Simplifying 7v + 6(6 + 8v) = 36 + -6v 7v + (6 * 6 + 8v * 6) = 36 + -6v 7v + (36 + 48v) = 36 + -6v Reorder the terms: 36 + 7v + 48v = 36 + -6v Combine like terms: 7v + 48v = 55v 36 + 55v = 36 + -6v Add '-36' to each side of the equation. 36 + -36 + 55v = 36 + -36 + -6v Combine like terms: 36 + -36 = 0 0 + 55v = 36 + -36 + -6v 55v = 36 + -36 + -6v Combine like terms: 36 + -36 = 0 55v = 0 + -6v 55v = -6v Solving 55v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 55v + 6v = -6v + 6v Combine like terms: 55v + 6v = 61v 61v = -6v + 6v Combine like terms: -6v + 6v = 0 61v = 0 Divide each side by '61'. v = 0 Simplifying v = 0
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