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Simplifying -121 = -2(1 + -7n) + -7 -121 = (1 * -2 + -7n * -2) + -7 -121 = (-2 + 14n) + -7 Reorder the terms: -121 = -2 + -7 + 14n Combine like terms: -2 + -7 = -9 -121 = -9 + 14n Solving -121 = -9 + 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. -121 + -14n = -9 + 14n + -14n Combine like terms: 14n + -14n = 0 -121 + -14n = -9 + 0 -121 + -14n = -9 Add '121' to each side of the equation. -121 + 121 + -14n = -9 + 121 Combine like terms: -121 + 121 = 0 0 + -14n = -9 + 121 -14n = -9 + 121 Combine like terms: -9 + 121 = 112 -14n = 112 Divide each side by '-14'. n = -8 Simplifying n = -8
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