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Simplifying -5(2n + 9) = 10n Reorder the terms: -5(9 + 2n) = 10n (9 * -5 + 2n * -5) = 10n (-45 + -10n) = 10n Solving -45 + -10n = 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 + -10n + -10n = 10n + -10n Combine like terms: -10n + -10n = -20n -45 + -20n = 10n + -10n Combine like terms: 10n + -10n = 0 -45 + -20n = 0 Add '45' to each side of the equation. -45 + 45 + -20n = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -20n = 0 + 45 -20n = 0 + 45 Combine like terms: 0 + 45 = 45 -20n = 45 Divide each side by '-20'. n = -2.25 Simplifying n = -2.25
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