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Simplifying 12(1 + -3n) + 8n = 4(n + 11) (1 * 12 + -3n * 12) + 8n = 4(n + 11) (12 + -36n) + 8n = 4(n + 11) Combine like terms: -36n + 8n = -28n 12 + -28n = 4(n + 11) Reorder the terms: 12 + -28n = 4(11 + n) 12 + -28n = (11 * 4 + n * 4) 12 + -28n = (44 + 4n) Solving 12 + -28n = 44 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 12 + -28n + -4n = 44 + 4n + -4n Combine like terms: -28n + -4n = -32n 12 + -32n = 44 + 4n + -4n Combine like terms: 4n + -4n = 0 12 + -32n = 44 + 0 12 + -32n = 44 Add '-12' to each side of the equation. 12 + -12 + -32n = 44 + -12 Combine like terms: 12 + -12 = 0 0 + -32n = 44 + -12 -32n = 44 + -12 Combine like terms: 44 + -12 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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