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Simplifying -102 = -8(5 + -1n) + 2 -102 = (5 * -8 + -1n * -8) + 2 -102 = (-40 + 8n) + 2 Reorder the terms: -102 = -40 + 2 + 8n Combine like terms: -40 + 2 = -38 -102 = -38 + 8n Solving -102 = -38 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -102 + -8n = -38 + 8n + -8n Combine like terms: 8n + -8n = 0 -102 + -8n = -38 + 0 -102 + -8n = -38 Add '102' to each side of the equation. -102 + 102 + -8n = -38 + 102 Combine like terms: -102 + 102 = 0 0 + -8n = -38 + 102 -8n = -38 + 102 Combine like terms: -38 + 102 = 64 -8n = 64 Divide each side by '-8'. n = -8 Simplifying n = -8
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