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Simplifying 3n + 8 = 5(5n + -5) + 6 Reorder the terms: 8 + 3n = 5(5n + -5) + 6 Reorder the terms: 8 + 3n = 5(-5 + 5n) + 6 8 + 3n = (-5 * 5 + 5n * 5) + 6 8 + 3n = (-25 + 25n) + 6 Reorder the terms: 8 + 3n = -25 + 6 + 25n Combine like terms: -25 + 6 = -19 8 + 3n = -19 + 25n Solving 8 + 3n = -19 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. 8 + 3n + -25n = -19 + 25n + -25n Combine like terms: 3n + -25n = -22n 8 + -22n = -19 + 25n + -25n Combine like terms: 25n + -25n = 0 8 + -22n = -19 + 0 8 + -22n = -19 Add '-8' to each side of the equation. 8 + -8 + -22n = -19 + -8 Combine like terms: 8 + -8 = 0 0 + -22n = -19 + -8 -22n = -19 + -8 Combine like terms: -19 + -8 = -27 -22n = -27 Divide each side by '-22'. n = 1.227272727 Simplifying n = 1.227272727
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