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Simplifying 6 + 6(n + -8) = -84 Reorder the terms: 6 + 6(-8 + n) = -84 6 + (-8 * 6 + n * 6) = -84 6 + (-48 + 6n) = -84 Combine like terms: 6 + -48 = -42 -42 + 6n = -84 Solving -42 + 6n = -84 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6n = -84 + 42 Combine like terms: -42 + 42 = 0 0 + 6n = -84 + 42 6n = -84 + 42 Combine like terms: -84 + 42 = -42 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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