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Simplifying 4n + 51 = 6n + 11 Reorder the terms: 51 + 4n = 6n + 11 Reorder the terms: 51 + 4n = 11 + 6n Solving 51 + 4n = 11 + 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. 51 + 4n + -6n = 11 + 6n + -6n Combine like terms: 4n + -6n = -2n 51 + -2n = 11 + 6n + -6n Combine like terms: 6n + -6n = 0 51 + -2n = 11 + 0 51 + -2n = 11 Add '-51' to each side of the equation. 51 + -51 + -2n = 11 + -51 Combine like terms: 51 + -51 = 0 0 + -2n = 11 + -51 -2n = 11 + -51 Combine like terms: 11 + -51 = -40 -2n = -40 Divide each side by '-2'. n = 20 Simplifying n = 20
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