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Simplifying 22 + 8n = 6(6n + -1) Reorder the terms: 22 + 8n = 6(-1 + 6n) 22 + 8n = (-1 * 6 + 6n * 6) 22 + 8n = (-6 + 36n) Solving 22 + 8n = -6 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. 22 + 8n + -36n = -6 + 36n + -36n Combine like terms: 8n + -36n = -28n 22 + -28n = -6 + 36n + -36n Combine like terms: 36n + -36n = 0 22 + -28n = -6 + 0 22 + -28n = -6 Add '-22' to each side of the equation. 22 + -22 + -28n = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -28n = -6 + -22 -28n = -6 + -22 Combine like terms: -6 + -22 = -28 -28n = -28 Divide each side by '-28'. n = 1 Simplifying n = 1
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