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Simplifying -10 + -7n = -8 + -8n + -5 Reorder the terms: -10 + -7n = -8 + -5 + -8n Combine like terms: -8 + -5 = -13 -10 + -7n = -13 + -8n Solving -10 + -7n = -13 + -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. -10 + -7n + 8n = -13 + -8n + 8n Combine like terms: -7n + 8n = 1n -10 + 1n = -13 + -8n + 8n Combine like terms: -8n + 8n = 0 -10 + 1n = -13 + 0 -10 + 1n = -13 Add '10' to each side of the equation. -10 + 10 + 1n = -13 + 10 Combine like terms: -10 + 10 = 0 0 + 1n = -13 + 10 1n = -13 + 10 Combine like terms: -13 + 10 = -3 1n = -3 Divide each side by '1'. n = -3 Simplifying n = -3
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