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Simplifying 4n + 16 + -11n = 33 + 6n + 9 Reorder the terms: 16 + 4n + -11n = 33 + 6n + 9 Combine like terms: 4n + -11n = -7n 16 + -7n = 33 + 6n + 9 Reorder the terms: 16 + -7n = 33 + 9 + 6n Combine like terms: 33 + 9 = 42 16 + -7n = 42 + 6n Solving 16 + -7n = 42 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16 + -7n + -6n = 42 + 6n + -6n Combine like terms: -7n + -6n = -13n 16 + -13n = 42 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + -13n = 42 + 0 16 + -13n = 42 Add '-16' to each side of the equation. 16 + -16 + -13n = 42 + -16 Combine like terms: 16 + -16 = 0 0 + -13n = 42 + -16 -13n = 42 + -16 Combine like terms: 42 + -16 = 26 -13n = 26 Divide each side by '-13'. n = -2 Simplifying n = -2
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