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Simplifying 1 + 6 + 6v + -1 = 7v Reorder the terms: 1 + 6 + -1 + 6v = 7v Combine like terms: 1 + 6 = 7 7 + -1 + 6v = 7v Combine like terms: 7 + -1 = 6 6 + 6v = 7v Solving 6 + 6v = 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. 6 + 6v + -7v = 7v + -7v Combine like terms: 6v + -7v = -1v 6 + -1v = 7v + -7v Combine like terms: 7v + -7v = 0 6 + -1v = 0 Add '-6' to each side of the equation. 6 + -6 + -1v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1v = 0 + -6 -1v = 0 + -6 Combine like terms: 0 + -6 = -6 -1v = -6 Divide each side by '-1'. v = 6 Simplifying v = 6
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