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