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Simplifying 3n + 2(n + -2) = 4n + -1 Reorder the terms: 3n + 2(-2 + n) = 4n + -1 3n + (-2 * 2 + n * 2) = 4n + -1 3n + (-4 + 2n) = 4n + -1 Reorder the terms: -4 + 3n + 2n = 4n + -1 Combine like terms: 3n + 2n = 5n -4 + 5n = 4n + -1 Reorder the terms: -4 + 5n = -1 + 4n Solving -4 + 5n = -1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -4 + 5n + -4n = -1 + 4n + -4n Combine like terms: 5n + -4n = 1n -4 + 1n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + 1n = -1 + 0 -4 + 1n = -1 Add '4' to each side of the equation. -4 + 4 + 1n = -1 + 4 Combine like terms: -4 + 4 = 0 0 + 1n = -1 + 4 1n = -1 + 4 Combine like terms: -1 + 4 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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