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Simplifying 194 = 6(5n + 4) + 4n Reorder the terms: 194 = 6(4 + 5n) + 4n 194 = (4 * 6 + 5n * 6) + 4n 194 = (24 + 30n) + 4n Combine like terms: 30n + 4n = 34n 194 = 24 + 34n Solving 194 = 24 + 34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34n' to each side of the equation. 194 + -34n = 24 + 34n + -34n Combine like terms: 34n + -34n = 0 194 + -34n = 24 + 0 194 + -34n = 24 Add '-194' to each side of the equation. 194 + -194 + -34n = 24 + -194 Combine like terms: 194 + -194 = 0 0 + -34n = 24 + -194 -34n = 24 + -194 Combine like terms: 24 + -194 = -170 -34n = -170 Divide each side by '-34'. n = 5 Simplifying n = 5
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