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Simplifying 3(n + -2) + 2n + 3 = 4n + 1 + 2 Reorder the terms: 3(-2 + n) + 2n + 3 = 4n + 1 + 2 (-2 * 3 + n * 3) + 2n + 3 = 4n + 1 + 2 (-6 + 3n) + 2n + 3 = 4n + 1 + 2 Reorder the terms: -6 + 3 + 3n + 2n = 4n + 1 + 2 Combine like terms: -6 + 3 = -3 -3 + 3n + 2n = 4n + 1 + 2 Combine like terms: 3n + 2n = 5n -3 + 5n = 4n + 1 + 2 Reorder the terms: -3 + 5n = 1 + 2 + 4n Combine like terms: 1 + 2 = 3 -3 + 5n = 3 + 4n Solving -3 + 5n = 3 + 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. -3 + 5n + -4n = 3 + 4n + -4n Combine like terms: 5n + -4n = 1n -3 + 1n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + 1n = 3 + 0 -3 + 1n = 3 Add '3' to each side of the equation. -3 + 3 + 1n = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 1n = 3 + 3 1n = 3 + 3 Combine like terms: 3 + 3 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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