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