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Simplifying -204 = -9n + -6(n + 9) Reorder the terms: -204 = -9n + -6(9 + n) -204 = -9n + (9 * -6 + n * -6) -204 = -9n + (-54 + -6n) Reorder the terms: -204 = -54 + -9n + -6n Combine like terms: -9n + -6n = -15n -204 = -54 + -15n Solving -204 = -54 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -204 + 15n = -54 + -15n + 15n Combine like terms: -15n + 15n = 0 -204 + 15n = -54 + 0 -204 + 15n = -54 Add '204' to each side of the equation. -204 + 204 + 15n = -54 + 204 Combine like terms: -204 + 204 = 0 0 + 15n = -54 + 204 15n = -54 + 204 Combine like terms: -54 + 204 = 150 15n = 150 Divide each side by '15'. n = 10 Simplifying n = 10
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