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Simplifying 3(n + 4) = 5n + -4 Reorder the terms: 3(4 + n) = 5n + -4 (4 * 3 + n * 3) = 5n + -4 (12 + 3n) = 5n + -4 Reorder the terms: 12 + 3n = -4 + 5n Solving 12 + 3n = -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 + 3n + -5n = -4 + 5n + -5n Combine like terms: 3n + -5n = -2n 12 + -2n = -4 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + -2n = -4 + 0 12 + -2n = -4 Add '-12' to each side of the equation. 12 + -12 + -2n = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = -4 + -12 -2n = -4 + -12 Combine like terms: -4 + -12 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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