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Simplifying -4v + 1 = v + -9 Reorder the terms: 1 + -4v = v + -9 Reorder the terms: 1 + -4v = -9 + v Solving 1 + -4v = -9 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 1 + -4v + -1v = -9 + v + -1v Combine like terms: -4v + -1v = -5v 1 + -5v = -9 + v + -1v Combine like terms: v + -1v = 0 1 + -5v = -9 + 0 1 + -5v = -9 Add '-1' to each side of the equation. 1 + -1 + -5v = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = -9 + -1 -5v = -9 + -1 Combine like terms: -9 + -1 = -10 -5v = -10 Divide each side by '-5'. v = 2 Simplifying v = 2
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