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Simplifying -5(1 + -2n) = 3 + 6n (1 * -5 + -2n * -5) = 3 + 6n (-5 + 10n) = 3 + 6n Solving -5 + 10n = 3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -5 + 10n + -6n = 3 + 6n + -6n Combine like terms: 10n + -6n = 4n -5 + 4n = 3 + 6n + -6n Combine like terms: 6n + -6n = 0 -5 + 4n = 3 + 0 -5 + 4n = 3 Add '5' to each side of the equation. -5 + 5 + 4n = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 4n = 3 + 5 4n = 3 + 5 Combine like terms: 3 + 5 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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