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Simplifying 9(n + -6) = 8 + 10n Reorder the terms: 9(-6 + n) = 8 + 10n (-6 * 9 + n * 9) = 8 + 10n (-54 + 9n) = 8 + 10n Solving -54 + 9n = 8 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -54 + 9n + -10n = 8 + 10n + -10n Combine like terms: 9n + -10n = -1n -54 + -1n = 8 + 10n + -10n Combine like terms: 10n + -10n = 0 -54 + -1n = 8 + 0 -54 + -1n = 8 Add '54' to each side of the equation. -54 + 54 + -1n = 8 + 54 Combine like terms: -54 + 54 = 0 0 + -1n = 8 + 54 -1n = 8 + 54 Combine like terms: 8 + 54 = 62 -1n = 62 Divide each side by '-1'. n = -62 Simplifying n = -62
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