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Simplifying 9 + 19n + -4 = 5n + 53 + -2n Reorder the terms: 9 + -4 + 19n = 5n + 53 + -2n Combine like terms: 9 + -4 = 5 5 + 19n = 5n + 53 + -2n Reorder the terms: 5 + 19n = 53 + 5n + -2n Combine like terms: 5n + -2n = 3n 5 + 19n = 53 + 3n Solving 5 + 19n = 53 + 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 + 19n + -3n = 53 + 3n + -3n Combine like terms: 19n + -3n = 16n 5 + 16n = 53 + 3n + -3n Combine like terms: 3n + -3n = 0 5 + 16n = 53 + 0 5 + 16n = 53 Add '-5' to each side of the equation. 5 + -5 + 16n = 53 + -5 Combine like terms: 5 + -5 = 0 0 + 16n = 53 + -5 16n = 53 + -5 Combine like terms: 53 + -5 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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