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Simplifying 10(n + 6) = 2(30 + 5n) Reorder the terms: 10(6 + n) = 2(30 + 5n) (6 * 10 + n * 10) = 2(30 + 5n) (60 + 10n) = 2(30 + 5n) 60 + 10n = (30 * 2 + 5n * 2) 60 + 10n = (60 + 10n) Add '-60' to each side of the equation. 60 + -60 + 10n = 60 + -60 + 10n Combine like terms: 60 + -60 = 0 0 + 10n = 60 + -60 + 10n 10n = 60 + -60 + 10n Combine like terms: 60 + -60 = 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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