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Simplifying -38 + 7n = 9n + 32 + -1n Reorder the terms: -38 + 7n = 32 + 9n + -1n Combine like terms: 9n + -1n = 8n -38 + 7n = 32 + 8n Solving -38 + 7n = 32 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -38 + 7n + -8n = 32 + 8n + -8n Combine like terms: 7n + -8n = -1n -38 + -1n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 -38 + -1n = 32 + 0 -38 + -1n = 32 Add '38' to each side of the equation. -38 + 38 + -1n = 32 + 38 Combine like terms: -38 + 38 = 0 0 + -1n = 32 + 38 -1n = 32 + 38 Combine like terms: 32 + 38 = 70 -1n = 70 Divide each side by '-1'. n = -70 Simplifying n = -70
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