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Simplifying -102 = -6 + 8(2n + 4) Reorder the terms: -102 = -6 + 8(4 + 2n) -102 = -6 + (4 * 8 + 2n * 8) -102 = -6 + (32 + 16n) Combine like terms: -6 + 32 = 26 -102 = 26 + 16n Solving -102 = 26 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -102 + -16n = 26 + 16n + -16n Combine like terms: 16n + -16n = 0 -102 + -16n = 26 + 0 -102 + -16n = 26 Add '102' to each side of the equation. -102 + 102 + -16n = 26 + 102 Combine like terms: -102 + 102 = 0 0 + -16n = 26 + 102 -16n = 26 + 102 Combine like terms: 26 + 102 = 128 -16n = 128 Divide each side by '-16'. n = -8 Simplifying n = -8
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