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Simplifying -9(n + 5) = -10n Reorder the terms: -9(5 + n) = -10n (5 * -9 + n * -9) = -10n (-45 + -9n) = -10n Solving -45 + -9n = -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. -45 + -9n + 10n = -10n + 10n Combine like terms: -9n + 10n = 1n -45 + 1n = -10n + 10n Combine like terms: -10n + 10n = 0 -45 + 1n = 0 Add '45' to each side of the equation. -45 + 45 + 1n = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 1n = 0 + 45 1n = 0 + 45 Combine like terms: 0 + 45 = 45 1n = 45 Divide each side by '1'. n = 45 Simplifying n = 45
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