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