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Simplifying 7v + 6 = 7(8v + 8) + -1 Reorder the terms: 6 + 7v = 7(8v + 8) + -1 Reorder the terms: 6 + 7v = 7(8 + 8v) + -1 6 + 7v = (8 * 7 + 8v * 7) + -1 6 + 7v = (56 + 56v) + -1 Reorder the terms: 6 + 7v = 56 + -1 + 56v Combine like terms: 56 + -1 = 55 6 + 7v = 55 + 56v Solving 6 + 7v = 55 + 56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56v' to each side of the equation. 6 + 7v + -56v = 55 + 56v + -56v Combine like terms: 7v + -56v = -49v 6 + -49v = 55 + 56v + -56v Combine like terms: 56v + -56v = 0 6 + -49v = 55 + 0 6 + -49v = 55 Add '-6' to each side of the equation. 6 + -6 + -49v = 55 + -6 Combine like terms: 6 + -6 = 0 0 + -49v = 55 + -6 -49v = 55 + -6 Combine like terms: 55 + -6 = 49 -49v = 49 Divide each side by '-49'. v = -1 Simplifying v = -1
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