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Simplifying 3n + 8 + -3 = 10n + -2 Reorder the terms: 8 + -3 + 3n = 10n + -2 Combine like terms: 8 + -3 = 5 5 + 3n = 10n + -2 Reorder the terms: 5 + 3n = -2 + 10n Solving 5 + 3n = -2 + 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 = -2 + 10n + -10n Combine like terms: 3n + -10n = -7n 5 + -7n = -2 + 10n + -10n Combine like terms: 10n + -10n = 0 5 + -7n = -2 + 0 5 + -7n = -2 Add '-5' to each side of the equation. 5 + -5 + -7n = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -7n = -2 + -5 -7n = -2 + -5 Combine like terms: -2 + -5 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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