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Simplifying 2 + 2n = 3n + -1(3n + 4) Reorder the terms: 2 + 2n = 3n + -1(4 + 3n) 2 + 2n = 3n + (4 * -1 + 3n * -1) 2 + 2n = 3n + (-4 + -3n) Reorder the terms: 2 + 2n = -4 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 2n = -4 + 0 2 + 2n = -4 Solving 2 + 2n = -4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2n = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = -4 + -2 2n = -4 + -2 Combine like terms: -4 + -2 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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