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Simplifying 4v + 1 = 7v + -8 Reorder the terms: 1 + 4v = 7v + -8 Reorder the terms: 1 + 4v = -8 + 7v Solving 1 + 4v = -8 + 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 + 4v + -7v = -8 + 7v + -7v Combine like terms: 4v + -7v = -3v 1 + -3v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + -3v = -8 + 0 1 + -3v = -8 Add '-1' to each side of the equation. 1 + -1 + -3v = -8 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = -8 + -1 -3v = -8 + -1 Combine like terms: -8 + -1 = -9 -3v = -9 Divide each side by '-3'. v = 3 Simplifying v = 3
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