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Simplifying 9(2n + -5) = (5n + 2) + 1 Reorder the terms: 9(-5 + 2n) = (5n + 2) + 1 (-5 * 9 + 2n * 9) = (5n + 2) + 1 (-45 + 18n) = (5n + 2) + 1 Reorder the terms: -45 + 18n = (2 + 5n) + 1 Remove parenthesis around (2 + 5n) -45 + 18n = 2 + 5n + 1 Reorder the terms: -45 + 18n = 2 + 1 + 5n Combine like terms: 2 + 1 = 3 -45 + 18n = 3 + 5n Solving -45 + 18n = 3 + 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. -45 + 18n + -5n = 3 + 5n + -5n Combine like terms: 18n + -5n = 13n -45 + 13n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -45 + 13n = 3 + 0 -45 + 13n = 3 Add '45' to each side of the equation. -45 + 45 + 13n = 3 + 45 Combine like terms: -45 + 45 = 0 0 + 13n = 3 + 45 13n = 3 + 45 Combine like terms: 3 + 45 = 48 13n = 48 Divide each side by '13'. n = 3.692307692 Simplifying n = 3.692307692
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