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Simplifying 5(5n + -1) = 3(n + 2) Reorder the terms: 5(-1 + 5n) = 3(n + 2) (-1 * 5 + 5n * 5) = 3(n + 2) (-5 + 25n) = 3(n + 2) Reorder the terms: -5 + 25n = 3(2 + n) -5 + 25n = (2 * 3 + n * 3) -5 + 25n = (6 + 3n) Solving -5 + 25n = 6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + 25n + -3n = 6 + 3n + -3n Combine like terms: 25n + -3n = 22n -5 + 22n = 6 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + 22n = 6 + 0 -5 + 22n = 6 Add '5' to each side of the equation. -5 + 5 + 22n = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 22n = 6 + 5 22n = 6 + 5 Combine like terms: 6 + 5 = 11 22n = 11 Divide each side by '22'. n = 0.5 Simplifying n = 0.5
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