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Simplifying 6n + 2n = -13 + 1 + -1n + -6 Combine like terms: 6n + 2n = 8n 8n = -13 + 1 + -1n + -6 Reorder the terms: 8n = -13 + 1 + -6 + -1n Combine like terms: -13 + 1 = -12 8n = -12 + -6 + -1n Combine like terms: -12 + -6 = -18 8n = -18 + -1n Solving 8n = -18 + -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. 8n + n = -18 + -1n + n Combine like terms: 8n + n = 9n 9n = -18 + -1n + n Combine like terms: -1n + n = 0 9n = -18 + 0 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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