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