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Simplifying 6n + 8(-3 + -2n) = -84 6n + (-3 * 8 + -2n * 8) = -84 6n + (-24 + -16n) = -84 Reorder the terms: -24 + 6n + -16n = -84 Combine like terms: 6n + -16n = -10n -24 + -10n = -84 Solving -24 + -10n = -84 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -10n = -84 + 24 Combine like terms: -24 + 24 = 0 0 + -10n = -84 + 24 -10n = -84 + 24 Combine like terms: -84 + 24 = -60 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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