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Simplifying 8v + 1 = 7v + -30 Reorder the terms: 1 + 8v = 7v + -30 Reorder the terms: 1 + 8v = -30 + 7v Solving 1 + 8v = -30 + 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. 1 + 8v + -7v = -30 + 7v + -7v Combine like terms: 8v + -7v = 1v 1 + 1v = -30 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + 1v = -30 + 0 1 + 1v = -30 Add '-1' to each side of the equation. 1 + -1 + 1v = -30 + -1 Combine like terms: 1 + -1 = 0 0 + 1v = -30 + -1 1v = -30 + -1 Combine like terms: -30 + -1 = -31 1v = -31 Divide each side by '1'. v = -31 Simplifying v = -31
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