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