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Simplifying 5(3 + 4) + 4n = 5n + 6n Combine like terms: 3 + 4 = 7 5(7) + 4n = 5n + 6n Multiply 5 * 7 35 + 4n = 5n + 6n Combine like terms: 5n + 6n = 11n 35 + 4n = 11n Solving 35 + 4n = 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 35 + 4n + -11n = 11n + -11n Combine like terms: 4n + -11n = -7n 35 + -7n = 11n + -11n Combine like terms: 11n + -11n = 0 35 + -7n = 0 Add '-35' to each side of the equation. 35 + -35 + -7n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -7n = 0 + -35 -7n = 0 + -35 Combine like terms: 0 + -35 = -35 -7n = -35 Divide each side by '-7'. n = 5 Simplifying n = 5
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