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Simplifying -83 = -8 + 5(1 + -2n) -83 = -8 + (1 * 5 + -2n * 5) -83 = -8 + (5 + -10n) Combine like terms: -8 + 5 = -3 -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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