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Simplifying 5n + 3 = 2(n + 5) + -3n Reorder the terms: 3 + 5n = 2(n + 5) + -3n Reorder the terms: 3 + 5n = 2(5 + n) + -3n 3 + 5n = (5 * 2 + n * 2) + -3n 3 + 5n = (10 + 2n) + -3n Combine like terms: 2n + -3n = -1n 3 + 5n = 10 + -1n Solving 3 + 5n = 10 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 3 + 5n + n = 10 + -1n + n Combine like terms: 5n + n = 6n 3 + 6n = 10 + -1n + n Combine like terms: -1n + n = 0 3 + 6n = 10 + 0 3 + 6n = 10 Add '-3' to each side of the equation. 3 + -3 + 6n = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 6n = 10 + -3 6n = 10 + -3 Combine like terms: 10 + -3 = 7 6n = 7 Divide each side by '6'. n = 1.166666667 Simplifying n = 1.166666667
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