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Simplifying 24 + 3n = 10 + -10n + -90 Reorder the terms: 24 + 3n = 10 + -90 + -10n Combine like terms: 10 + -90 = -80 24 + 3n = -80 + -10n Solving 24 + 3n = -80 + -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. 24 + 3n + 10n = -80 + -10n + 10n Combine like terms: 3n + 10n = 13n 24 + 13n = -80 + -10n + 10n Combine like terms: -10n + 10n = 0 24 + 13n = -80 + 0 24 + 13n = -80 Add '-24' to each side of the equation. 24 + -24 + 13n = -80 + -24 Combine like terms: 24 + -24 = 0 0 + 13n = -80 + -24 13n = -80 + -24 Combine like terms: -80 + -24 = -104 13n = -104 Divide each side by '13'. n = -8 Simplifying n = -8
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