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Simplifying -3(n + -4) + -1(-7n + -4) = 72 Reorder the terms: -3(-4 + n) + -1(-7n + -4) = 72 (-4 * -3 + n * -3) + -1(-7n + -4) = 72 (12 + -3n) + -1(-7n + -4) = 72 Reorder the terms: 12 + -3n + -1(-4 + -7n) = 72 12 + -3n + (-4 * -1 + -7n * -1) = 72 12 + -3n + (4 + 7n) = 72 Reorder the terms: 12 + 4 + -3n + 7n = 72 Combine like terms: 12 + 4 = 16 16 + -3n + 7n = 72 Combine like terms: -3n + 7n = 4n 16 + 4n = 72 Solving 16 + 4n = 72 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 4n = 72 + -16 Combine like terms: 16 + -16 = 0 0 + 4n = 72 + -16 4n = 72 + -16 Combine like terms: 72 + -16 = 56 4n = 56 Divide each side by '4'. n = 14 Simplifying n = 14
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