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Simplifying -8(-2n + -4) + 3(2 + -8n) = 70 Reorder the terms: -8(-4 + -2n) + 3(2 + -8n) = 70 (-4 * -8 + -2n * -8) + 3(2 + -8n) = 70 (32 + 16n) + 3(2 + -8n) = 70 32 + 16n + (2 * 3 + -8n * 3) = 70 32 + 16n + (6 + -24n) = 70 Reorder the terms: 32 + 6 + 16n + -24n = 70 Combine like terms: 32 + 6 = 38 38 + 16n + -24n = 70 Combine like terms: 16n + -24n = -8n 38 + -8n = 70 Solving 38 + -8n = 70 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -8n = 70 + -38 Combine like terms: 38 + -38 = 0 0 + -8n = 70 + -38 -8n = 70 + -38 Combine like terms: 70 + -38 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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