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Simplifying 8n + 8 + -4n + 28 = 3n + 54 + 4n Reorder the terms: 8 + 28 + 8n + -4n = 3n + 54 + 4n Combine like terms: 8 + 28 = 36 36 + 8n + -4n = 3n + 54 + 4n Combine like terms: 8n + -4n = 4n 36 + 4n = 3n + 54 + 4n Reorder the terms: 36 + 4n = 54 + 3n + 4n Combine like terms: 3n + 4n = 7n 36 + 4n = 54 + 7n Solving 36 + 4n = 54 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 36 + 4n + -7n = 54 + 7n + -7n Combine like terms: 4n + -7n = -3n 36 + -3n = 54 + 7n + -7n Combine like terms: 7n + -7n = 0 36 + -3n = 54 + 0 36 + -3n = 54 Add '-36' to each side of the equation. 36 + -36 + -3n = 54 + -36 Combine like terms: 36 + -36 = 0 0 + -3n = 54 + -36 -3n = 54 + -36 Combine like terms: 54 + -36 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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