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Simplifying 4(3n + -2) = (5n + 2) + 1 Reorder the terms: 4(-2 + 3n) = (5n + 2) + 1 (-2 * 4 + 3n * 4) = (5n + 2) + 1 (-8 + 12n) = (5n + 2) + 1 Reorder the terms: -8 + 12n = (2 + 5n) + 1 Remove parenthesis around (2 + 5n) -8 + 12n = 2 + 5n + 1 Reorder the terms: -8 + 12n = 2 + 1 + 5n Combine like terms: 2 + 1 = 3 -8 + 12n = 3 + 5n Solving -8 + 12n = 3 + 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. -8 + 12n + -5n = 3 + 5n + -5n Combine like terms: 12n + -5n = 7n -8 + 7n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -8 + 7n = 3 + 0 -8 + 7n = 3 Add '8' to each side of the equation. -8 + 8 + 7n = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = 3 + 8 7n = 3 + 8 Combine like terms: 3 + 8 = 11 7n = 11 Divide each side by '7'. n = 1.571428571 Simplifying n = 1.571428571
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