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Simplifying -72 = 4(3n + 1) + 5(1 + -3n) Reorder the terms: -72 = 4(1 + 3n) + 5(1 + -3n) -72 = (1 * 4 + 3n * 4) + 5(1 + -3n) -72 = (4 + 12n) + 5(1 + -3n) -72 = 4 + 12n + (1 * 5 + -3n * 5) -72 = 4 + 12n + (5 + -15n) Reorder the terms: -72 = 4 + 5 + 12n + -15n Combine like terms: 4 + 5 = 9 -72 = 9 + 12n + -15n Combine like terms: 12n + -15n = -3n -72 = 9 + -3n Solving -72 = 9 + -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. -72 + 3n = 9 + -3n + 3n Combine like terms: -3n + 3n = 0 -72 + 3n = 9 + 0 -72 + 3n = 9 Add '72' to each side of the equation. -72 + 72 + 3n = 9 + 72 Combine like terms: -72 + 72 = 0 0 + 3n = 9 + 72 3n = 9 + 72 Combine like terms: 9 + 72 = 81 3n = 81 Divide each side by '3'. n = 27 Simplifying n = 27
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