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Simplifying 7(n + -6) + -4 = -102 Reorder the terms: 7(-6 + n) + -4 = -102 (-6 * 7 + n * 7) + -4 = -102 (-42 + 7n) + -4 = -102 Reorder the terms: -42 + -4 + 7n = -102 Combine like terms: -42 + -4 = -46 -46 + 7n = -102 Solving -46 + 7n = -102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 7n = -102 + 46 Combine like terms: -46 + 46 = 0 0 + 7n = -102 + 46 7n = -102 + 46 Combine like terms: -102 + 46 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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