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Simplifying 8n + 16n + 12 = 24n + 16n + -4 Reorder the terms: 12 + 8n + 16n = 24n + 16n + -4 Combine like terms: 8n + 16n = 24n 12 + 24n = 24n + 16n + -4 Reorder the terms: 12 + 24n = -4 + 24n + 16n Combine like terms: 24n + 16n = 40n 12 + 24n = -4 + 40n Solving 12 + 24n = -4 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 12 + 24n + -40n = -4 + 40n + -40n Combine like terms: 24n + -40n = -16n 12 + -16n = -4 + 40n + -40n Combine like terms: 40n + -40n = 0 12 + -16n = -4 + 0 12 + -16n = -4 Add '-12' to each side of the equation. 12 + -12 + -16n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -16n = -4 + -12 -16n = -4 + -12 Combine like terms: -4 + -12 = -16 -16n = -16 Divide each side by '-16'. n = 1 Simplifying n = 1
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