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Simplifying 2 + -13.8n = -8n + -1(6n + 1) Reorder the terms: 2 + -13.8n = -8n + -1(1 + 6n) 2 + -13.8n = -8n + (1 * -1 + 6n * -1) 2 + -13.8n = -8n + (-1 + -6n) Reorder the terms: 2 + -13.8n = -1 + -8n + -6n Combine like terms: -8n + -6n = -14n 2 + -13.8n = -1 + -14n Solving 2 + -13.8n = -1 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 2 + -13.8n + 14n = -1 + -14n + 14n Combine like terms: -13.8n + 14n = 0.2n 2 + 0.2n = -1 + -14n + 14n Combine like terms: -14n + 14n = 0 2 + 0.2n = -1 + 0 2 + 0.2n = -1 Add '-2' to each side of the equation. 2 + -2 + 0.2n = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 0.2n = -1 + -2 0.2n = -1 + -2 Combine like terms: -1 + -2 = -3 0.2n = -3 Divide each side by '0.2'. n = -15 Simplifying n = -15
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