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Simplifying 6n + 7 + -2n + -4 = 5n + 1 Reorder the terms: 7 + -4 + 6n + -2n = 5n + 1 Combine like terms: 7 + -4 = 3 3 + 6n + -2n = 5n + 1 Combine like terms: 6n + -2n = 4n 3 + 4n = 5n + 1 Reorder the terms: 3 + 4n = 1 + 5n Solving 3 + 4n = 1 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 3 + 4n + -5n = 1 + 5n + -5n Combine like terms: 4n + -5n = -1n 3 + -1n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -1n = 1 + 0 3 + -1n = 1 Add '-3' to each side of the equation. 3 + -3 + -1n = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 1 + -3 -1n = 1 + -3 Combine like terms: 1 + -3 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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