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Simplifying 9(n + -5) + 10n = 69 Reorder the terms: 9(-5 + n) + 10n = 69 (-5 * 9 + n * 9) + 10n = 69 (-45 + 9n) + 10n = 69 Combine like terms: 9n + 10n = 19n -45 + 19n = 69 Solving -45 + 19n = 69 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 19n = 69 + 45 Combine like terms: -45 + 45 = 0 0 + 19n = 69 + 45 19n = 69 + 45 Combine like terms: 69 + 45 = 114 19n = 114 Divide each side by '19'. n = 6 Simplifying n = 6
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