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Simplifying -83 = -3(1 + -5n) + -5n -83 = (1 * -3 + -5n * -3) + -5n -83 = (-3 + 15n) + -5n Combine like terms: 15n + -5n = 10n -83 = -3 + 10n Solving -83 = -3 + 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. -83 + -10n = -3 + 10n + -10n Combine like terms: 10n + -10n = 0 -83 + -10n = -3 + 0 -83 + -10n = -3 Add '83' to each side of the equation. -83 + 83 + -10n = -3 + 83 Combine like terms: -83 + 83 = 0 0 + -10n = -3 + 83 -10n = -3 + 83 Combine like terms: -3 + 83 = 80 -10n = 80 Divide each side by '-10'. n = -8 Simplifying n = -8
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