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Simplifying (5n + 1) + -3(2n + 3) = 2 + -1(n + 10) Reorder the terms: (1 + 5n) + -3(2n + 3) = 2 + -1(n + 10) Remove parenthesis around (1 + 5n) 1 + 5n + -3(2n + 3) = 2 + -1(n + 10) Reorder the terms: 1 + 5n + -3(3 + 2n) = 2 + -1(n + 10) 1 + 5n + (3 * -3 + 2n * -3) = 2 + -1(n + 10) 1 + 5n + (-9 + -6n) = 2 + -1(n + 10) Reorder the terms: 1 + -9 + 5n + -6n = 2 + -1(n + 10) Combine like terms: 1 + -9 = -8 -8 + 5n + -6n = 2 + -1(n + 10) Combine like terms: 5n + -6n = -1n -8 + -1n = 2 + -1(n + 10) Reorder the terms: -8 + -1n = 2 + -1(10 + n) -8 + -1n = 2 + (10 * -1 + n * -1) -8 + -1n = 2 + (-10 + -1n) Combine like terms: 2 + -10 = -8 -8 + -1n = -8 + -1n Add '8' to each side of the equation. -8 + 8 + -1n = -8 + 8 + -1n Combine like terms: -8 + 8 = 0 0 + -1n = -8 + 8 + -1n -1n = -8 + 8 + -1n Combine like terms: -8 + 8 = 0 -1n = 0 + -1n -1n = -1n Add 'n' to each side of the equation. -1n + n = -1n + n Combine like terms: -1n + n = 0 0 = -1n + n Combine like terms: -1n + n = 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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