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Simplifying -1(n + 6) + -9(n + -8) + 18 = -96 Reorder the terms: -1(6 + n) + -9(n + -8) + 18 = -96 (6 * -1 + n * -1) + -9(n + -8) + 18 = -96 (-6 + -1n) + -9(n + -8) + 18 = -96 Reorder the terms: -6 + -1n + -9(-8 + n) + 18 = -96 -6 + -1n + (-8 * -9 + n * -9) + 18 = -96 -6 + -1n + (72 + -9n) + 18 = -96 Reorder the terms: -6 + 72 + 18 + -1n + -9n = -96 Combine like terms: -6 + 72 = 66 66 + 18 + -1n + -9n = -96 Combine like terms: 66 + 18 = 84 84 + -1n + -9n = -96 Combine like terms: -1n + -9n = -10n 84 + -10n = -96 Solving 84 + -10n = -96 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -10n = -96 + -84 Combine like terms: 84 + -84 = 0 0 + -10n = -96 + -84 -10n = -96 + -84 Combine like terms: -96 + -84 = -180 -10n = -180 Divide each side by '-10'. n = 18 Simplifying n = 18
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