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Simplifying 3(2x + 4n) + 11 = -5(3 + -7n) Reorder the terms: 3(4n + 2x) + 11 = -5(3 + -7n) (4n * 3 + 2x * 3) + 11 = -5(3 + -7n) (12n + 6x) + 11 = -5(3 + -7n) Reorder the terms: 11 + 12n + 6x = -5(3 + -7n) 11 + 12n + 6x = (3 * -5 + -7n * -5) 11 + 12n + 6x = (-15 + 35n) Solving 11 + 12n + 6x = -15 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 11 + 12n + -35n + 6x = -15 + 35n + -35n Combine like terms: 12n + -35n = -23n 11 + -23n + 6x = -15 + 35n + -35n Combine like terms: 35n + -35n = 0 11 + -23n + 6x = -15 + 0 11 + -23n + 6x = -15 Add '-11' to each side of the equation. 11 + -23n + -11 + 6x = -15 + -11 Reorder the terms: 11 + -11 + -23n + 6x = -15 + -11 Combine like terms: 11 + -11 = 0 0 + -23n + 6x = -15 + -11 -23n + 6x = -15 + -11 Combine like terms: -15 + -11 = -26 -23n + 6x = -26 Add '-6x' to each side of the equation. -23n + 6x + -6x = -26 + -6x Combine like terms: 6x + -6x = 0 -23n + 0 = -26 + -6x -23n = -26 + -6x Divide each side by '-23'. n = 1.130434783 + 0.2608695652x Simplifying n = 1.130434783 + 0.2608695652x
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