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Simplifying 13 + -9n + -15 = 7n + 22 + -8n Reorder the terms: 13 + -15 + -9n = 7n + 22 + -8n Combine like terms: 13 + -15 = -2 -2 + -9n = 7n + 22 + -8n Reorder the terms: -2 + -9n = 22 + 7n + -8n Combine like terms: 7n + -8n = -1n -2 + -9n = 22 + -1n Solving -2 + -9n = 22 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -2 + -9n + n = 22 + -1n + n Combine like terms: -9n + n = -8n -2 + -8n = 22 + -1n + n Combine like terms: -1n + n = 0 -2 + -8n = 22 + 0 -2 + -8n = 22 Add '2' to each side of the equation. -2 + 2 + -8n = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -8n = 22 + 2 -8n = 22 + 2 Combine like terms: 22 + 2 = 24 -8n = 24 Divide each side by '-8'. n = -3 Simplifying n = -3
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