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Simplifying 5 + -2(5n + 3) = -81 Reorder the terms: 5 + -2(3 + 5n) = -81 5 + (3 * -2 + 5n * -2) = -81 5 + (-6 + -10n) = -81 Combine like terms: 5 + -6 = -1 -1 + -10n = -81 Solving -1 + -10n = -81 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -10n = -81 + 1 Combine like terms: -1 + 1 = 0 0 + -10n = -81 + 1 -10n = -81 + 1 Combine like terms: -81 + 1 = -80 -10n = -80 Divide each side by '-10'. n = 8 Simplifying n = 8
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