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Simplifying 2(8n + -7) = 8n + -38 Reorder the terms: 2(-7 + 8n) = 8n + -38 (-7 * 2 + 8n * 2) = 8n + -38 (-14 + 16n) = 8n + -38 Reorder the terms: -14 + 16n = -38 + 8n Solving -14 + 16n = -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. -14 + 16n + -8n = -38 + 8n + -8n Combine like terms: 16n + -8n = 8n -14 + 8n = -38 + 8n + -8n Combine like terms: 8n + -8n = 0 -14 + 8n = -38 + 0 -14 + 8n = -38 Add '14' to each side of the equation. -14 + 14 + 8n = -38 + 14 Combine like terms: -14 + 14 = 0 0 + 8n = -38 + 14 8n = -38 + 14 Combine like terms: -38 + 14 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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