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Simplifying 6(5n + -4) + -1[2(2n + -3) + 1] = 30n + -24 + -1[4n + -6 + 1] Reorder the terms: 6(-4 + 5n) + -1[2(2n + -3) + 1] = 30n + -24 + -1[4n + -6 + 1] (-4 * 6 + 5n * 6) + -1[2(2n + -3) + 1] = 30n + -24 + -1[4n + -6 + 1] (-24 + 30n) + -1[2(2n + -3) + 1] = 30n + -24 + -1[4n + -6 + 1] Reorder the terms: -24 + 30n + -1[2(-3 + 2n) + 1] = 30n + -24 + -1[4n + -6 + 1] -24 + 30n + -1[(-3 * 2 + 2n * 2) + 1] = 30n + -24 + -1[4n + -6 + 1] -24 + 30n + -1[(-6 + 4n) + 1] = 30n + -24 + -1[4n + -6 + 1] Reorder the terms: -24 + 30n + -1[-6 + 1 + 4n] = 30n + -24 + -1[4n + -6 + 1] Combine like terms: -6 + 1 = -5 -24 + 30n + -1[-5 + 4n] = 30n + -24 + -1[4n + -6 + 1] -24 + 30n + [-5 * -1 + 4n * -1] = 30n + -24 + -1[4n + -6 + 1] -24 + 30n + [5 + -4n] = 30n + -24 + -1[4n + -6 + 1] Reorder the terms: -24 + 5 + 30n + -4n = 30n + -24 + -1[4n + -6 + 1] Combine like terms: -24 + 5 = -19 -19 + 30n + -4n = 30n + -24 + -1[4n + -6 + 1] Combine like terms: 30n + -4n = 26n -19 + 26n = 30n + -24 + -1[4n + -6 + 1] Reorder the terms: -19 + 26n = 30n + -24 + -1[-6 + 1 + 4n] Combine like terms: -6 + 1 = -5 -19 + 26n = 30n + -24 + -1[-5 + 4n] -19 + 26n = 30n + -24 + [-5 * -1 + 4n * -1] -19 + 26n = 30n + -24 + [5 + -4n] Reorder the terms: -19 + 26n = -24 + 5 + 30n + -4n Combine like terms: -24 + 5 = -19 -19 + 26n = -19 + 30n + -4n Combine like terms: 30n + -4n = 26n -19 + 26n = -19 + 26n Add '19' to each side of the equation. -19 + 19 + 26n = -19 + 19 + 26n Combine like terms: -19 + 19 = 0 0 + 26n = -19 + 19 + 26n 26n = -19 + 19 + 26n Combine like terms: -19 + 19 = 0 26n = 0 + 26n 26n = 26n Add '-26n' to each side of the equation. 26n + -26n = 26n + -26n Combine like terms: 26n + -26n = 0 0 = 26n + -26n Combine like terms: 26n + -26n = 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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