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Simplifying 9n + 45 = 10n + 40 Reorder the terms: 45 + 9n = 10n + 40 Reorder the terms: 45 + 9n = 40 + 10n Solving 45 + 9n = 40 + 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 = 40 + 10n + -10n Combine like terms: 9n + -10n = -1n 45 + -1n = 40 + 10n + -10n Combine like terms: 10n + -10n = 0 45 + -1n = 40 + 0 45 + -1n = 40 Add '-45' to each side of the equation. 45 + -45 + -1n = 40 + -45 Combine like terms: 45 + -45 = 0 0 + -1n = 40 + -45 -1n = 40 + -45 Combine like terms: 40 + -45 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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