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Simplifying -5(1 + 2n) = n + 39 (1 * -5 + 2n * -5) = n + 39 (-5 + -10n) = n + 39 Reorder the terms: -5 + -10n = 39 + n Solving -5 + -10n = 39 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -5 + -10n + -1n = 39 + n + -1n Combine like terms: -10n + -1n = -11n -5 + -11n = 39 + n + -1n Combine like terms: n + -1n = 0 -5 + -11n = 39 + 0 -5 + -11n = 39 Add '5' to each side of the equation. -5 + 5 + -11n = 39 + 5 Combine like terms: -5 + 5 = 0 0 + -11n = 39 + 5 -11n = 39 + 5 Combine like terms: 39 + 5 = 44 -11n = 44 Divide each side by '-11'. n = -4 Simplifying n = -4
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