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Simplifying 6n + 4n = 3(n + 7) + 7(n + -3) Combine like terms: 6n + 4n = 10n 10n = 3(n + 7) + 7(n + -3) Reorder the terms: 10n = 3(7 + n) + 7(n + -3) 10n = (7 * 3 + n * 3) + 7(n + -3) 10n = (21 + 3n) + 7(n + -3) Reorder the terms: 10n = 21 + 3n + 7(-3 + n) 10n = 21 + 3n + (-3 * 7 + n * 7) 10n = 21 + 3n + (-21 + 7n) Reorder the terms: 10n = 21 + -21 + 3n + 7n Combine like terms: 21 + -21 = 0 10n = 0 + 3n + 7n 10n = 3n + 7n Combine like terms: 3n + 7n = 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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