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Simplifying 5(-5n + 5) + 3n = 5n + -2 Reorder the terms: 5(5 + -5n) + 3n = 5n + -2 (5 * 5 + -5n * 5) + 3n = 5n + -2 (25 + -25n) + 3n = 5n + -2 Combine like terms: -25n + 3n = -22n 25 + -22n = 5n + -2 Reorder the terms: 25 + -22n = -2 + 5n Solving 25 + -22n = -2 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 25 + -22n + -5n = -2 + 5n + -5n Combine like terms: -22n + -5n = -27n 25 + -27n = -2 + 5n + -5n Combine like terms: 5n + -5n = 0 25 + -27n = -2 + 0 25 + -27n = -2 Add '-25' to each side of the equation. 25 + -25 + -27n = -2 + -25 Combine like terms: 25 + -25 = 0 0 + -27n = -2 + -25 -27n = -2 + -25 Combine like terms: -2 + -25 = -27 -27n = -27 Divide each side by '-27'. n = 1 Simplifying n = 1
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