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Simplifying -5n + -2 + 3(2n + 1) = 4n + -3 Reorder the terms: -5n + -2 + 3(1 + 2n) = 4n + -3 -5n + -2 + (1 * 3 + 2n * 3) = 4n + -3 -5n + -2 + (3 + 6n) = 4n + -3 Reorder the terms: -2 + 3 + -5n + 6n = 4n + -3 Combine like terms: -2 + 3 = 1 1 + -5n + 6n = 4n + -3 Combine like terms: -5n + 6n = 1n 1 + 1n = 4n + -3 Reorder the terms: 1 + 1n = -3 + 4n Solving 1 + 1n = -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. 1 + 1n + -4n = -3 + 4n + -4n Combine like terms: 1n + -4n = -3n 1 + -3n = -3 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -3n = -3 + 0 1 + -3n = -3 Add '-1' to each side of the equation. 1 + -1 + -3n = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -3 + -1 -3n = -3 + -1 Combine like terms: -3 + -1 = -4 -3n = -4 Divide each side by '-3'. n = 1.333333333 Simplifying n = 1.333333333
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