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Simplifying 2(1 + -8n) + 10(4n + -6) = -11n + 6n (1 * 2 + -8n * 2) + 10(4n + -6) = -11n + 6n (2 + -16n) + 10(4n + -6) = -11n + 6n Reorder the terms: 2 + -16n + 10(-6 + 4n) = -11n + 6n 2 + -16n + (-6 * 10 + 4n * 10) = -11n + 6n 2 + -16n + (-60 + 40n) = -11n + 6n Reorder the terms: 2 + -60 + -16n + 40n = -11n + 6n Combine like terms: 2 + -60 = -58 -58 + -16n + 40n = -11n + 6n Combine like terms: -16n + 40n = 24n -58 + 24n = -11n + 6n Combine like terms: -11n + 6n = -5n -58 + 24n = -5n Solving -58 + 24n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -58 + 24n + 5n = -5n + 5n Combine like terms: 24n + 5n = 29n -58 + 29n = -5n + 5n Combine like terms: -5n + 5n = 0 -58 + 29n = 0 Add '58' to each side of the equation. -58 + 58 + 29n = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 29n = 0 + 58 29n = 0 + 58 Combine like terms: 0 + 58 = 58 29n = 58 Divide each side by '29'. n = 2 Simplifying n = 2
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