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Simplifying -2 + -13n = -8n + -1(6n + 1) Reorder the terms: -2 + -13n = -8n + -1(1 + 6n) -2 + -13n = -8n + (1 * -1 + 6n * -1) -2 + -13n = -8n + (-1 + -6n) Reorder the terms: -2 + -13n = -1 + -8n + -6n Combine like terms: -8n + -6n = -14n -2 + -13n = -1 + -14n Solving -2 + -13n = -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 + -13n + 14n = -1 + -14n + 14n Combine like terms: -13n + 14n = 1n -2 + 1n = -1 + -14n + 14n Combine like terms: -14n + 14n = 0 -2 + 1n = -1 + 0 -2 + 1n = -1 Add '2' to each side of the equation. -2 + 2 + 1n = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = -1 + 2 1n = -1 + 2 Combine like terms: -1 + 2 = 1 1n = 1 Divide each side by '1'. n = 1 Simplifying n = 1
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