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Simplifying -6(6n + -5) + 3n = -102 Reorder the terms: -6(-5 + 6n) + 3n = -102 (-5 * -6 + 6n * -6) + 3n = -102 (30 + -36n) + 3n = -102 Combine like terms: -36n + 3n = -33n 30 + -33n = -102 Solving 30 + -33n = -102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -33n = -102 + -30 Combine like terms: 30 + -30 = 0 0 + -33n = -102 + -30 -33n = -102 + -30 Combine like terms: -102 + -30 = -132 -33n = -132 Divide each side by '-33'. n = 4 Simplifying n = 4
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