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Simplifying -5(-7n + -6) + 8 = -102 Reorder the terms: -5(-6 + -7n) + 8 = -102 (-6 * -5 + -7n * -5) + 8 = -102 (30 + 35n) + 8 = -102 Reorder the terms: 30 + 8 + 35n = -102 Combine like terms: 30 + 8 = 38 38 + 35n = -102 Solving 38 + 35n = -102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 35n = -102 + -38 Combine like terms: 38 + -38 = 0 0 + 35n = -102 + -38 35n = -102 + -38 Combine like terms: -102 + -38 = -140 35n = -140 Divide each side by '35'. n = -4 Simplifying n = -4
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