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Simplifying 7n + -15 = 9 + -18 + 8n Reorder the terms: -15 + 7n = 9 + -18 + 8n Combine like terms: 9 + -18 = -9 -15 + 7n = -9 + 8n Solving -15 + 7n = -9 + 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. -15 + 7n + -8n = -9 + 8n + -8n Combine like terms: 7n + -8n = -1n -15 + -1n = -9 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + -1n = -9 + 0 -15 + -1n = -9 Add '15' to each side of the equation. -15 + 15 + -1n = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = -9 + 15 -1n = -9 + 15 Combine like terms: -9 + 15 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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