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Simplifying 7(1 + -4n) + -5(4n + -7) = -54 (1 * 7 + -4n * 7) + -5(4n + -7) = -54 (7 + -28n) + -5(4n + -7) = -54 Reorder the terms: 7 + -28n + -5(-7 + 4n) = -54 7 + -28n + (-7 * -5 + 4n * -5) = -54 7 + -28n + (35 + -20n) = -54 Reorder the terms: 7 + 35 + -28n + -20n = -54 Combine like terms: 7 + 35 = 42 42 + -28n + -20n = -54 Combine like terms: -28n + -20n = -48n 42 + -48n = -54 Solving 42 + -48n = -54 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -48n = -54 + -42 Combine like terms: 42 + -42 = 0 0 + -48n = -54 + -42 -48n = -54 + -42 Combine like terms: -54 + -42 = -96 -48n = -96 Divide each side by '-48'. n = 2 Simplifying n = 2
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