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Simplifying 6 + -2v = 7(8v + 8) + 8 Reorder the terms: 6 + -2v = 7(8 + 8v) + 8 6 + -2v = (8 * 7 + 8v * 7) + 8 6 + -2v = (56 + 56v) + 8 Reorder the terms: 6 + -2v = 56 + 8 + 56v Combine like terms: 56 + 8 = 64 6 + -2v = 64 + 56v Solving 6 + -2v = 64 + 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 + -2v + -56v = 64 + 56v + -56v Combine like terms: -2v + -56v = -58v 6 + -58v = 64 + 56v + -56v Combine like terms: 56v + -56v = 0 6 + -58v = 64 + 0 6 + -58v = 64 Add '-6' to each side of the equation. 6 + -6 + -58v = 64 + -6 Combine like terms: 6 + -6 = 0 0 + -58v = 64 + -6 -58v = 64 + -6 Combine like terms: 64 + -6 = 58 -58v = 58 Divide each side by '-58'. v = -1 Simplifying v = -1
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