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Simplifying -4(3n + 7) = 36 + -4n Reorder the terms: -4(7 + 3n) = 36 + -4n (7 * -4 + 3n * -4) = 36 + -4n (-28 + -12n) = 36 + -4n Solving -28 + -12n = 36 + -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. -28 + -12n + 4n = 36 + -4n + 4n Combine like terms: -12n + 4n = -8n -28 + -8n = 36 + -4n + 4n Combine like terms: -4n + 4n = 0 -28 + -8n = 36 + 0 -28 + -8n = 36 Add '28' to each side of the equation. -28 + 28 + -8n = 36 + 28 Combine like terms: -28 + 28 = 0 0 + -8n = 36 + 28 -8n = 36 + 28 Combine like terms: 36 + 28 = 64 -8n = 64 Divide each side by '-8'. n = -8 Simplifying n = -8
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