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Simplifying 38 + 8n = 6(8n + 1) + -8 Reorder the terms: 38 + 8n = 6(1 + 8n) + -8 38 + 8n = (1 * 6 + 8n * 6) + -8 38 + 8n = (6 + 48n) + -8 Reorder the terms: 38 + 8n = 6 + -8 + 48n Combine like terms: 6 + -8 = -2 38 + 8n = -2 + 48n Solving 38 + 8n = -2 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 38 + 8n + -48n = -2 + 48n + -48n Combine like terms: 8n + -48n = -40n 38 + -40n = -2 + 48n + -48n Combine like terms: 48n + -48n = 0 38 + -40n = -2 + 0 38 + -40n = -2 Add '-38' to each side of the equation. 38 + -38 + -40n = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -40n = -2 + -38 -40n = -2 + -38 Combine like terms: -2 + -38 = -40 -40n = -40 Divide each side by '-40'. n = 1 Simplifying n = 1
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