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Simplifying -1(1 + -5n) = 19 + -5n (1 * -1 + -5n * -1) = 19 + -5n (-1 + 5n) = 19 + -5n Solving -1 + 5n = 19 + -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. -1 + 5n + 5n = 19 + -5n + 5n Combine like terms: 5n + 5n = 10n -1 + 10n = 19 + -5n + 5n Combine like terms: -5n + 5n = 0 -1 + 10n = 19 + 0 -1 + 10n = 19 Add '1' to each side of the equation. -1 + 1 + 10n = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 10n = 19 + 1 10n = 19 + 1 Combine like terms: 19 + 1 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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