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