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Simplifying 59n + -30 + n = 6n + -18(-820) Reorder the terms: -30 + 59n + n = 6n + -18(-820) Combine like terms: 59n + n = 60n -30 + 60n = 6n + -18(-820) Multiply -18 * -820 -30 + 60n = 6n + 14760 Reorder the terms: -30 + 60n = 14760 + 6n Solving -30 + 60n = 14760 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -30 + 60n + -6n = 14760 + 6n + -6n Combine like terms: 60n + -6n = 54n -30 + 54n = 14760 + 6n + -6n Combine like terms: 6n + -6n = 0 -30 + 54n = 14760 + 0 -30 + 54n = 14760 Add '30' to each side of the equation. -30 + 30 + 54n = 14760 + 30 Combine like terms: -30 + 30 = 0 0 + 54n = 14760 + 30 54n = 14760 + 30 Combine like terms: 14760 + 30 = 14790 54n = 14790 Divide each side by '54'. n = 273.8888889 Simplifying n = 273.8888889
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