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Simplifying 3n + 5 = -8 + -10n Reorder the terms: 5 + 3n = -8 + -10n Solving 5 + 3n = -8 + -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. 5 + 3n + 10n = -8 + -10n + 10n Combine like terms: 3n + 10n = 13n 5 + 13n = -8 + -10n + 10n Combine like terms: -10n + 10n = 0 5 + 13n = -8 + 0 5 + 13n = -8 Add '-5' to each side of the equation. 5 + -5 + 13n = -8 + -5 Combine like terms: 5 + -5 = 0 0 + 13n = -8 + -5 13n = -8 + -5 Combine like terms: -8 + -5 = -13 13n = -13 Divide each side by '13'. n = -1 Simplifying n = -1
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