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Simplifying 218 = 4(10n + 8) + -9n Reorder the terms: 218 = 4(8 + 10n) + -9n 218 = (8 * 4 + 10n * 4) + -9n 218 = (32 + 40n) + -9n Combine like terms: 40n + -9n = 31n 218 = 32 + 31n Solving 218 = 32 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. 218 + -31n = 32 + 31n + -31n Combine like terms: 31n + -31n = 0 218 + -31n = 32 + 0 218 + -31n = 32 Add '-218' to each side of the equation. 218 + -218 + -31n = 32 + -218 Combine like terms: 218 + -218 = 0 0 + -31n = 32 + -218 -31n = 32 + -218 Combine like terms: 32 + -218 = -186 -31n = -186 Divide each side by '-31'. n = 6 Simplifying n = 6
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