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Simplifying 8 + -7n + -1n = -6n + 10 Combine like terms: -7n + -1n = -8n 8 + -8n = -6n + 10 Reorder the terms: 8 + -8n = 10 + -6n Solving 8 + -8n = 10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 8 + -8n + 6n = 10 + -6n + 6n Combine like terms: -8n + 6n = -2n 8 + -2n = 10 + -6n + 6n Combine like terms: -6n + 6n = 0 8 + -2n = 10 + 0 8 + -2n = 10 Add '-8' to each side of the equation. 8 + -8 + -2n = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 10 + -8 -2n = 10 + -8 Combine like terms: 10 + -8 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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