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Simplifying -2(4 + 5n) + -5 = -83 (4 * -2 + 5n * -2) + -5 = -83 (-8 + -10n) + -5 = -83 Reorder the terms: -8 + -5 + -10n = -83 Combine like terms: -8 + -5 = -13 -13 + -10n = -83 Solving -13 + -10n = -83 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -10n = -83 + 13 Combine like terms: -13 + 13 = 0 0 + -10n = -83 + 13 -10n = -83 + 13 Combine like terms: -83 + 13 = -70 -10n = -70 Divide each side by '-10'. n = 7 Simplifying n = 7
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