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Simplifying 3(4n + 4) = 5n + -4 Reorder the terms: 3(4 + 4n) = 5n + -4 (4 * 3 + 4n * 3) = 5n + -4 (12 + 12n) = 5n + -4 Reorder the terms: 12 + 12n = -4 + 5n Solving 12 + 12n = -4 + 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 + 12n + -5n = -4 + 5n + -5n Combine like terms: 12n + -5n = 7n 12 + 7n = -4 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + 7n = -4 + 0 12 + 7n = -4 Add '-12' to each side of the equation. 12 + -12 + 7n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = -4 + -12 7n = -4 + -12 Combine like terms: -4 + -12 = -16 7n = -16 Divide each side by '7'. n = -2.285714286 Simplifying n = -2.285714286
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