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Simplifying -4(9n + -1) = 50 + 10n Reorder the terms: -4(-1 + 9n) = 50 + 10n (-1 * -4 + 9n * -4) = 50 + 10n (4 + -36n) = 50 + 10n Solving 4 + -36n = 50 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 4 + -36n + -10n = 50 + 10n + -10n Combine like terms: -36n + -10n = -46n 4 + -46n = 50 + 10n + -10n Combine like terms: 10n + -10n = 0 4 + -46n = 50 + 0 4 + -46n = 50 Add '-4' to each side of the equation. 4 + -4 + -46n = 50 + -4 Combine like terms: 4 + -4 = 0 0 + -46n = 50 + -4 -46n = 50 + -4 Combine like terms: 50 + -4 = 46 -46n = 46 Divide each side by '-46'. n = -1 Simplifying n = -1
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