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Simplifying 5n + 4 = 7n + -3(n + -4) Reorder the terms: 4 + 5n = 7n + -3(n + -4) Reorder the terms: 4 + 5n = 7n + -3(-4 + n) 4 + 5n = 7n + (-4 * -3 + n * -3) 4 + 5n = 7n + (12 + -3n) Reorder the terms: 4 + 5n = 12 + 7n + -3n Combine like terms: 7n + -3n = 4n 4 + 5n = 12 + 4n Solving 4 + 5n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 4 + 5n + -4n = 12 + 4n + -4n Combine like terms: 5n + -4n = 1n 4 + 1n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 4 + 1n = 12 + 0 4 + 1n = 12 Add '-4' to each side of the equation. 4 + -4 + 1n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 12 + -4 1n = 12 + -4 Combine like terms: 12 + -4 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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