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Simplifying (8n + 12) = -8(4 + -4n) Reorder the terms: (12 + 8n) = -8(4 + -4n) Remove parenthesis around (12 + 8n) 12 + 8n = -8(4 + -4n) 12 + 8n = (4 * -8 + -4n * -8) 12 + 8n = (-32 + 32n) Solving 12 + 8n = -32 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 12 + 8n + -32n = -32 + 32n + -32n Combine like terms: 8n + -32n = -24n 12 + -24n = -32 + 32n + -32n Combine like terms: 32n + -32n = 0 12 + -24n = -32 + 0 12 + -24n = -32 Add '-12' to each side of the equation. 12 + -12 + -24n = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -24n = -32 + -12 -24n = -32 + -12 Combine like terms: -32 + -12 = -44 -24n = -44 Divide each side by '-24'. n = 1.833333333 Simplifying n = 1.833333333
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