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Simplifying 7n + 12 = 4 + -5(n + -4) Reorder the terms: 12 + 7n = 4 + -5(n + -4) Reorder the terms: 12 + 7n = 4 + -5(-4 + n) 12 + 7n = 4 + (-4 * -5 + n * -5) 12 + 7n = 4 + (20 + -5n) Combine like terms: 4 + 20 = 24 12 + 7n = 24 + -5n Solving 12 + 7n = 24 + -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. 12 + 7n + 5n = 24 + -5n + 5n Combine like terms: 7n + 5n = 12n 12 + 12n = 24 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + 12n = 24 + 0 12 + 12n = 24 Add '-12' to each side of the equation. 12 + -12 + 12n = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 12n = 24 + -12 12n = 24 + -12 Combine like terms: 24 + -12 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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