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Simplifying 8n + 7 + -12n = 4n + 5 + -9n Reorder the terms: 7 + 8n + -12n = 4n + 5 + -9n Combine like terms: 8n + -12n = -4n 7 + -4n = 4n + 5 + -9n Reorder the terms: 7 + -4n = 5 + 4n + -9n Combine like terms: 4n + -9n = -5n 7 + -4n = 5 + -5n Solving 7 + -4n = 5 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 7 + -4n + 5n = 5 + -5n + 5n Combine like terms: -4n + 5n = 1n 7 + 1n = 5 + -5n + 5n Combine like terms: -5n + 5n = 0 7 + 1n = 5 + 0 7 + 1n = 5 Add '-7' to each side of the equation. 7 + -7 + 1n = 5 + -7 Combine like terms: 7 + -7 = 0 0 + 1n = 5 + -7 1n = 5 + -7 Combine like terms: 5 + -7 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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