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Simplifying 5n + 15 = -61n + 488 Reorder the terms: 15 + 5n = -61n + 488 Reorder the terms: 15 + 5n = 488 + -61n Solving 15 + 5n = 488 + -61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61n' to each side of the equation. 15 + 5n + 61n = 488 + -61n + 61n Combine like terms: 5n + 61n = 66n 15 + 66n = 488 + -61n + 61n Combine like terms: -61n + 61n = 0 15 + 66n = 488 + 0 15 + 66n = 488 Add '-15' to each side of the equation. 15 + -15 + 66n = 488 + -15 Combine like terms: 15 + -15 = 0 0 + 66n = 488 + -15 66n = 488 + -15 Combine like terms: 488 + -15 = 473 66n = 473 Divide each side by '66'. n = 7.166666667 Simplifying n = 7.166666667
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