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Simplifying 3(n + 11) + -5n = -2(n + -12) + 9 Reorder the terms: 3(11 + n) + -5n = -2(n + -12) + 9 (11 * 3 + n * 3) + -5n = -2(n + -12) + 9 (33 + 3n) + -5n = -2(n + -12) + 9 Combine like terms: 3n + -5n = -2n 33 + -2n = -2(n + -12) + 9 Reorder the terms: 33 + -2n = -2(-12 + n) + 9 33 + -2n = (-12 * -2 + n * -2) + 9 33 + -2n = (24 + -2n) + 9 Reorder the terms: 33 + -2n = 24 + 9 + -2n Combine like terms: 24 + 9 = 33 33 + -2n = 33 + -2n Add '-33' to each side of the equation. 33 + -33 + -2n = 33 + -33 + -2n Combine like terms: 33 + -33 = 0 0 + -2n = 33 + -33 + -2n -2n = 33 + -33 + -2n Combine like terms: 33 + -33 = 0 -2n = 0 + -2n -2n = -2n Add '2n' to each side of the equation. -2n + 2n = -2n + 2n Combine like terms: -2n + 2n = 0 0 = -2n + 2n Combine like terms: -2n + 2n = 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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