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Simplifying 4n + 5n + -6 = 12n + -5n + 6 Reorder the terms: -6 + 4n + 5n = 12n + -5n + 6 Combine like terms: 4n + 5n = 9n -6 + 9n = 12n + -5n + 6 Reorder the terms: -6 + 9n = 6 + 12n + -5n Combine like terms: 12n + -5n = 7n -6 + 9n = 6 + 7n Solving -6 + 9n = 6 + 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. -6 + 9n + -7n = 6 + 7n + -7n Combine like terms: 9n + -7n = 2n -6 + 2n = 6 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + 2n = 6 + 0 -6 + 2n = 6 Add '6' to each side of the equation. -6 + 6 + 2n = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 6 + 6 2n = 6 + 6 Combine like terms: 6 + 6 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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