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Simplifying 232 = -6 + -7(1 + -7n) 232 = -6 + (1 * -7 + -7n * -7) 232 = -6 + (-7 + 49n) Combine like terms: -6 + -7 = -13 232 = -13 + 49n Solving 232 = -13 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 232 + -49n = -13 + 49n + -49n Combine like terms: 49n + -49n = 0 232 + -49n = -13 + 0 232 + -49n = -13 Add '-232' to each side of the equation. 232 + -232 + -49n = -13 + -232 Combine like terms: 232 + -232 = 0 0 + -49n = -13 + -232 -49n = -13 + -232 Combine like terms: -13 + -232 = -245 -49n = -245 Divide each side by '-49'. n = 5 Simplifying n = 5
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