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Simplifying -2n + 8(2n + -4) = -102 Reorder the terms: -2n + 8(-4 + 2n) = -102 -2n + (-4 * 8 + 2n * 8) = -102 -2n + (-32 + 16n) = -102 Reorder the terms: -32 + -2n + 16n = -102 Combine like terms: -2n + 16n = 14n -32 + 14n = -102 Solving -32 + 14n = -102 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 14n = -102 + 32 Combine like terms: -32 + 32 = 0 0 + 14n = -102 + 32 14n = -102 + 32 Combine like terms: -102 + 32 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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