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Simplifying 8n + -5 + 2n = 2(5n + -5) + 5 Reorder the terms: -5 + 8n + 2n = 2(5n + -5) + 5 Combine like terms: 8n + 2n = 10n -5 + 10n = 2(5n + -5) + 5 Reorder the terms: -5 + 10n = 2(-5 + 5n) + 5 -5 + 10n = (-5 * 2 + 5n * 2) + 5 -5 + 10n = (-10 + 10n) + 5 Reorder the terms: -5 + 10n = -10 + 5 + 10n Combine like terms: -10 + 5 = -5 -5 + 10n = -5 + 10n Add '5' to each side of the equation. -5 + 5 + 10n = -5 + 5 + 10n Combine like terms: -5 + 5 = 0 0 + 10n = -5 + 5 + 10n 10n = -5 + 5 + 10n Combine like terms: -5 + 5 = 0 10n = 0 + 10n 10n = 10n Add '-10n' to each side of the equation. 10n + -10n = 10n + -10n Combine like terms: 10n + -10n = 0 0 = 10n + -10n Combine like terms: 10n + -10n = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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