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