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Simplifying 12 = 4(7 + 8n + -3) Reorder the terms: 12 = 4(7 + -3 + 8n) Combine like terms: 7 + -3 = 4 12 = 4(4 + 8n) 12 = (4 * 4 + 8n * 4) 12 = (16 + 32n) Solving 12 = 16 + 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 + -32n = 16 + 32n + -32n Combine like terms: 32n + -32n = 0 12 + -32n = 16 + 0 12 + -32n = 16 Add '-12' to each side of the equation. 12 + -12 + -32n = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -32n = 16 + -12 -32n = 16 + -12 Combine like terms: 16 + -12 = 4 -32n = 4 Divide each side by '-32'. n = -0.125 Simplifying n = -0.125
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