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Simplifying n + 9 = -4(2n + 7) + 9(n + 6) Reorder the terms: 9 + n = -4(2n + 7) + 9(n + 6) Reorder the terms: 9 + n = -4(7 + 2n) + 9(n + 6) 9 + n = (7 * -4 + 2n * -4) + 9(n + 6) 9 + n = (-28 + -8n) + 9(n + 6) Reorder the terms: 9 + n = -28 + -8n + 9(6 + n) 9 + n = -28 + -8n + (6 * 9 + n * 9) 9 + n = -28 + -8n + (54 + 9n) Reorder the terms: 9 + n = -28 + 54 + -8n + 9n Combine like terms: -28 + 54 = 26 9 + n = 26 + -8n + 9n Combine like terms: -8n + 9n = 1n 9 + n = 26 + 1n Solving 9 + n = 26 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 9 + n + -1n = 26 + 1n + -1n Combine like terms: n + -1n = 0 9 + 0 = 26 + 1n + -1n 9 = 26 + 1n + -1n Combine like terms: 1n + -1n = 0 9 = 26 + 0 9 = 26 Add '-9' to each side of the equation. 9 + -9 = 26 + -9 Combine like terms: 9 + -9 = 0 0 = 26 + -9 Combine like terms: 26 + -9 = 17 0 = 17 Simplifying 0 = 17 Combine like terms: 0 + -17 = -17 -17 = 17 + -17 Combine like terms: 17 + -17 = 0 -17 = 0 The solution to this equation could not be determined.
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