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Simplifying -9(9 + -12n) + -1n = -40 + -14n (9 * -9 + -12n * -9) + -1n = -40 + -14n (-81 + 108n) + -1n = -40 + -14n Combine like terms: 108n + -1n = 107n -81 + 107n = -40 + -14n Solving -81 + 107n = -40 + -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. -81 + 107n + 14n = -40 + -14n + 14n Combine like terms: 107n + 14n = 121n -81 + 121n = -40 + -14n + 14n Combine like terms: -14n + 14n = 0 -81 + 121n = -40 + 0 -81 + 121n = -40 Add '81' to each side of the equation. -81 + 81 + 121n = -40 + 81 Combine like terms: -81 + 81 = 0 0 + 121n = -40 + 81 121n = -40 + 81 Combine like terms: -40 + 81 = 41 121n = 41 Divide each side by '121'. n = 0.3388429752 Simplifying n = 0.3388429752
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