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Simplifying -79 = 4(5n + 4) + 5 Reorder the terms: -79 = 4(4 + 5n) + 5 -79 = (4 * 4 + 5n * 4) + 5 -79 = (16 + 20n) + 5 Reorder the terms: -79 = 16 + 5 + 20n Combine like terms: 16 + 5 = 21 -79 = 21 + 20n Solving -79 = 21 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -79 + -20n = 21 + 20n + -20n Combine like terms: 20n + -20n = 0 -79 + -20n = 21 + 0 -79 + -20n = 21 Add '79' to each side of the equation. -79 + 79 + -20n = 21 + 79 Combine like terms: -79 + 79 = 0 0 + -20n = 21 + 79 -20n = 21 + 79 Combine like terms: 21 + 79 = 100 -20n = 100 Divide each side by '-20'. n = -5 Simplifying n = -5
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