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Simplifying 6n + -1(1 + -1n) = 7n + -1 6n + (1 * -1 + -1n * -1) = 7n + -1 6n + (-1 + 1n) = 7n + -1 Reorder the terms: -1 + 6n + 1n = 7n + -1 Combine like terms: 6n + 1n = 7n -1 + 7n = 7n + -1 Reorder the terms: -1 + 7n = -1 + 7n Add '1' to each side of the equation. -1 + 1 + 7n = -1 + 1 + 7n Combine like terms: -1 + 1 = 0 0 + 7n = -1 + 1 + 7n 7n = -1 + 1 + 7n Combine like terms: -1 + 1 = 0 7n = 0 + 7n 7n = 7n Add '-7n' to each side of the equation. 7n + -7n = 7n + -7n Combine like terms: 7n + -7n = 0 0 = 7n + -7n Combine like terms: 7n + -7n = 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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