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Simplifying -15 + -1n = 7n + 1 Reorder the terms: -15 + -1n = 1 + 7n Solving -15 + -1n = 1 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -15 + -1n + -7n = 1 + 7n + -7n Combine like terms: -1n + -7n = -8n -15 + -8n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + -8n = 1 + 0 -15 + -8n = 1 Add '15' to each side of the equation. -15 + 15 + -8n = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -8n = 1 + 15 -8n = 1 + 15 Combine like terms: 1 + 15 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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