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Simplifying 11 + 4n = 4 + -1(n + -2) Reorder the terms: 11 + 4n = 4 + -1(-2 + n) 11 + 4n = 4 + (-2 * -1 + n * -1) 11 + 4n = 4 + (2 + -1n) Combine like terms: 4 + 2 = 6 11 + 4n = 6 + -1n Solving 11 + 4n = 6 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 11 + 4n + n = 6 + -1n + n Combine like terms: 4n + n = 5n 11 + 5n = 6 + -1n + n Combine like terms: -1n + n = 0 11 + 5n = 6 + 0 11 + 5n = 6 Add '-11' to each side of the equation. 11 + -11 + 5n = 6 + -11 Combine like terms: 11 + -11 = 0 0 + 5n = 6 + -11 5n = 6 + -11 Combine like terms: 6 + -11 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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