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Simplifying -16 + 5n = 7n + -2(n + 8) Reorder the terms: -16 + 5n = 7n + -2(8 + n) -16 + 5n = 7n + (8 * -2 + n * -2) -16 + 5n = 7n + (-16 + -2n) Reorder the terms: -16 + 5n = -16 + 7n + -2n Combine like terms: 7n + -2n = 5n -16 + 5n = -16 + 5n Add '16' to each side of the equation. -16 + 16 + 5n = -16 + 16 + 5n Combine like terms: -16 + 16 = 0 0 + 5n = -16 + 16 + 5n 5n = -16 + 16 + 5n Combine like terms: -16 + 16 = 0 5n = 0 + 5n 5n = 5n Add '-5n' to each side of the equation. 5n + -5n = 5n + -5n Combine like terms: 5n + -5n = 0 0 = 5n + -5n Combine like terms: 5n + -5n = 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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