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Simplifying 6(2n + -1) = (5n + 3) + 1 Reorder the terms: 6(-1 + 2n) = (5n + 3) + 1 (-1 * 6 + 2n * 6) = (5n + 3) + 1 (-6 + 12n) = (5n + 3) + 1 Reorder the terms: -6 + 12n = (3 + 5n) + 1 Remove parenthesis around (3 + 5n) -6 + 12n = 3 + 5n + 1 Reorder the terms: -6 + 12n = 3 + 1 + 5n Combine like terms: 3 + 1 = 4 -6 + 12n = 4 + 5n Solving -6 + 12n = 4 + 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. -6 + 12n + -5n = 4 + 5n + -5n Combine like terms: 12n + -5n = 7n -6 + 7n = 4 + 5n + -5n Combine like terms: 5n + -5n = 0 -6 + 7n = 4 + 0 -6 + 7n = 4 Add '6' to each side of the equation. -6 + 6 + 7n = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 7n = 4 + 6 7n = 4 + 6 Combine like terms: 4 + 6 = 10 7n = 10 Divide each side by '7'. n = 1.428571429 Simplifying n = 1.428571429
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