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Simplifying -105 = 7(1 + -2n) -105 = (1 * 7 + -2n * 7) -105 = (7 + -14n) Solving -105 = 7 + -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. -105 + 14n = 7 + -14n + 14n Combine like terms: -14n + 14n = 0 -105 + 14n = 7 + 0 -105 + 14n = 7 Add '105' to each side of the equation. -105 + 105 + 14n = 7 + 105 Combine like terms: -105 + 105 = 0 0 + 14n = 7 + 105 14n = 7 + 105 Combine like terms: 7 + 105 = 112 14n = 112 Divide each side by '14'. n = 8 Simplifying n = 8
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