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Simplifying -6(-6n + -2) + -5n = -112 Reorder the terms: -6(-2 + -6n) + -5n = -112 (-2 * -6 + -6n * -6) + -5n = -112 (12 + 36n) + -5n = -112 Combine like terms: 36n + -5n = 31n 12 + 31n = -112 Solving 12 + 31n = -112 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 31n = -112 + -12 Combine like terms: 12 + -12 = 0 0 + 31n = -112 + -12 31n = -112 + -12 Combine like terms: -112 + -12 = -124 31n = -124 Divide each side by '31'. n = -4 Simplifying n = -4
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