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Simplifying 7n + -4 = 4 + 3(n + 4) Reorder the terms: -4 + 7n = 4 + 3(n + 4) Reorder the terms: -4 + 7n = 4 + 3(4 + n) -4 + 7n = 4 + (4 * 3 + n * 3) -4 + 7n = 4 + (12 + 3n) Combine like terms: 4 + 12 = 16 -4 + 7n = 16 + 3n Solving -4 + 7n = 16 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -4 + 7n + -3n = 16 + 3n + -3n Combine like terms: 7n + -3n = 4n -4 + 4n = 16 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 4n = 16 + 0 -4 + 4n = 16 Add '4' to each side of the equation. -4 + 4 + 4n = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 16 + 4 4n = 16 + 4 Combine like terms: 16 + 4 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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