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Simplifying n + 2(1 + -7n) = -89 n + (1 * 2 + -7n * 2) = -89 n + (2 + -14n) = -89 Reorder the terms: 2 + n + -14n = -89 Combine like terms: n + -14n = -13n 2 + -13n = -89 Solving 2 + -13n = -89 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -13n = -89 + -2 Combine like terms: 2 + -2 = 0 0 + -13n = -89 + -2 -13n = -89 + -2 Combine like terms: -89 + -2 = -91 -13n = -91 Divide each side by '-13'. n = 7 Simplifying n = 7
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