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Simplifying -27 + 6(n + -30) = 3(n + 5) Reorder the terms: -27 + 6(-30 + n) = 3(n + 5) -27 + (-30 * 6 + n * 6) = 3(n + 5) -27 + (-180 + 6n) = 3(n + 5) Combine like terms: -27 + -180 = -207 -207 + 6n = 3(n + 5) Reorder the terms: -207 + 6n = 3(5 + n) -207 + 6n = (5 * 3 + n * 3) -207 + 6n = (15 + 3n) Solving -207 + 6n = 15 + 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. -207 + 6n + -3n = 15 + 3n + -3n Combine like terms: 6n + -3n = 3n -207 + 3n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 -207 + 3n = 15 + 0 -207 + 3n = 15 Add '207' to each side of the equation. -207 + 207 + 3n = 15 + 207 Combine like terms: -207 + 207 = 0 0 + 3n = 15 + 207 3n = 15 + 207 Combine like terms: 15 + 207 = 222 3n = 222 Divide each side by '3'. n = 74 Simplifying n = 74
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