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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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