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Simplifying 5(n + 6) + -2n = 3(n + 10) Reorder the terms: 5(6 + n) + -2n = 3(n + 10) (6 * 5 + n * 5) + -2n = 3(n + 10) (30 + 5n) + -2n = 3(n + 10) Combine like terms: 5n + -2n = 3n 30 + 3n = 3(n + 10) Reorder the terms: 30 + 3n = 3(10 + n) 30 + 3n = (10 * 3 + n * 3) 30 + 3n = (30 + 3n) Add '-30' to each side of the equation. 30 + -30 + 3n = 30 + -30 + 3n Combine like terms: 30 + -30 = 0 0 + 3n = 30 + -30 + 3n 3n = 30 + -30 + 3n Combine like terms: 30 + -30 = 0 3n = 0 + 3n 3n = 3n Add '-3n' to each side of the equation. 3n + -3n = 3n + -3n Combine like terms: 3n + -3n = 0 0 = 3n + -3n Combine like terms: 3n + -3n = 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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