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Simplifying -4v + 13 = 5(1 + -1v) Reorder the terms: 13 + -4v = 5(1 + -1v) 13 + -4v = (1 * 5 + -1v * 5) 13 + -4v = (5 + -5v) Solving 13 + -4v = 5 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 13 + -4v + 5v = 5 + -5v + 5v Combine like terms: -4v + 5v = 1v 13 + 1v = 5 + -5v + 5v Combine like terms: -5v + 5v = 0 13 + 1v = 5 + 0 13 + 1v = 5 Add '-13' to each side of the equation. 13 + -13 + 1v = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 1v = 5 + -13 1v = 5 + -13 Combine like terms: 5 + -13 = -8 1v = -8 Divide each side by '1'. v = -8 Simplifying v = -8
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