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Simplifying 4(3n + -1) = (5n + 4) + 7 Reorder the terms: 4(-1 + 3n) = (5n + 4) + 7 (-1 * 4 + 3n * 4) = (5n + 4) + 7 (-4 + 12n) = (5n + 4) + 7 Reorder the terms: -4 + 12n = (4 + 5n) + 7 Remove parenthesis around (4 + 5n) -4 + 12n = 4 + 5n + 7 Reorder the terms: -4 + 12n = 4 + 7 + 5n Combine like terms: 4 + 7 = 11 -4 + 12n = 11 + 5n Solving -4 + 12n = 11 + 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 = 11 + 5n + -5n Combine like terms: 12n + -5n = 7n -4 + 7n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + 7n = 11 + 0 -4 + 7n = 11 Add '4' to each side of the equation. -4 + 4 + 7n = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 7n = 11 + 4 7n = 11 + 4 Combine like terms: 11 + 4 = 15 7n = 15 Divide each side by '7'. n = 2.142857143 Simplifying n = 2.142857143
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