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Simplifying 3(4n + 4) + -7 = 3n + 19 + 2n Reorder the terms: 3(4 + 4n) + -7 = 3n + 19 + 2n (4 * 3 + 4n * 3) + -7 = 3n + 19 + 2n (12 + 12n) + -7 = 3n + 19 + 2n Reorder the terms: 12 + -7 + 12n = 3n + 19 + 2n Combine like terms: 12 + -7 = 5 5 + 12n = 3n + 19 + 2n Reorder the terms: 5 + 12n = 19 + 3n + 2n Combine like terms: 3n + 2n = 5n 5 + 12n = 19 + 5n Solving 5 + 12n = 19 + 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. 5 + 12n + -5n = 19 + 5n + -5n Combine like terms: 12n + -5n = 7n 5 + 7n = 19 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 7n = 19 + 0 5 + 7n = 19 Add '-5' to each side of the equation. 5 + -5 + 7n = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 7n = 19 + -5 7n = 19 + -5 Combine like terms: 19 + -5 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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