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Simplifying 4n = 2(n + 1) + -1(3n + 3) Reorder the terms: 4n = 2(1 + n) + -1(3n + 3) 4n = (1 * 2 + n * 2) + -1(3n + 3) 4n = (2 + 2n) + -1(3n + 3) Reorder the terms: 4n = 2 + 2n + -1(3 + 3n) 4n = 2 + 2n + (3 * -1 + 3n * -1) 4n = 2 + 2n + (-3 + -3n) Reorder the terms: 4n = 2 + -3 + 2n + -3n Combine like terms: 2 + -3 = -1 4n = -1 + 2n + -3n Combine like terms: 2n + -3n = -1n 4n = -1 + -1n Solving 4n = -1 + -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. 4n + n = -1 + -1n + n Combine like terms: 4n + n = 5n 5n = -1 + -1n + n Combine like terms: -1n + n = 0 5n = -1 + 0 5n = -1 Divide each side by '5'. n = -0.2 Simplifying n = -0.2
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