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Simplifying 54 = 5(5n + -4) + -8(-4n + 7) Reorder the terms: 54 = 5(-4 + 5n) + -8(-4n + 7) 54 = (-4 * 5 + 5n * 5) + -8(-4n + 7) 54 = (-20 + 25n) + -8(-4n + 7) Reorder the terms: 54 = -20 + 25n + -8(7 + -4n) 54 = -20 + 25n + (7 * -8 + -4n * -8) 54 = -20 + 25n + (-56 + 32n) Reorder the terms: 54 = -20 + -56 + 25n + 32n Combine like terms: -20 + -56 = -76 54 = -76 + 25n + 32n Combine like terms: 25n + 32n = 57n 54 = -76 + 57n Solving 54 = -76 + 57n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-57n' to each side of the equation. 54 + -57n = -76 + 57n + -57n Combine like terms: 57n + -57n = 0 54 + -57n = -76 + 0 54 + -57n = -76 Add '-54' to each side of the equation. 54 + -54 + -57n = -76 + -54 Combine like terms: 54 + -54 = 0 0 + -57n = -76 + -54 -57n = -76 + -54 Combine like terms: -76 + -54 = -130 -57n = -130 Divide each side by '-57'. n = 2.280701754 Simplifying n = 2.280701754
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