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Simplifying 4(n + 1) + 1(n + 3) = 5(n + 1) + 2 Reorder the terms: 4(1 + n) + 1(n + 3) = 5(n + 1) + 2 (1 * 4 + n * 4) + 1(n + 3) = 5(n + 1) + 2 (4 + 4n) + 1(n + 3) = 5(n + 1) + 2 Reorder the terms: 4 + 4n + 1(3 + n) = 5(n + 1) + 2 4 + 4n + (3 * 1 + n * 1) = 5(n + 1) + 2 4 + 4n + (3 + 1n) = 5(n + 1) + 2 Reorder the terms: 4 + 3 + 4n + 1n = 5(n + 1) + 2 Combine like terms: 4 + 3 = 7 7 + 4n + 1n = 5(n + 1) + 2 Combine like terms: 4n + 1n = 5n 7 + 5n = 5(n + 1) + 2 Reorder the terms: 7 + 5n = 5(1 + n) + 2 7 + 5n = (1 * 5 + n * 5) + 2 7 + 5n = (5 + 5n) + 2 Reorder the terms: 7 + 5n = 5 + 2 + 5n Combine like terms: 5 + 2 = 7 7 + 5n = 7 + 5n Add '-7' to each side of the equation. 7 + -7 + 5n = 7 + -7 + 5n Combine like terms: 7 + -7 = 0 0 + 5n = 7 + -7 + 5n 5n = 7 + -7 + 5n Combine like terms: 7 + -7 = 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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