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Simplifying 5(5n + -1) = 6n + 37 + -2n Reorder the terms: 5(-1 + 5n) = 6n + 37 + -2n (-1 * 5 + 5n * 5) = 6n + 37 + -2n (-5 + 25n) = 6n + 37 + -2n Reorder the terms: -5 + 25n = 37 + 6n + -2n Combine like terms: 6n + -2n = 4n -5 + 25n = 37 + 4n Solving -5 + 25n = 37 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -5 + 25n + -4n = 37 + 4n + -4n Combine like terms: 25n + -4n = 21n -5 + 21n = 37 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + 21n = 37 + 0 -5 + 21n = 37 Add '5' to each side of the equation. -5 + 5 + 21n = 37 + 5 Combine like terms: -5 + 5 = 0 0 + 21n = 37 + 5 21n = 37 + 5 Combine like terms: 37 + 5 = 42 21n = 42 Divide each side by '21'. n = 2 Simplifying n = 2
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