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Simplifying 4(3n + -4) = (5n + 1) + 9 Reorder the terms: 4(-4 + 3n) = (5n + 1) + 9 (-4 * 4 + 3n * 4) = (5n + 1) + 9 (-16 + 12n) = (5n + 1) + 9 Reorder the terms: -16 + 12n = (1 + 5n) + 9 Remove parenthesis around (1 + 5n) -16 + 12n = 1 + 5n + 9 Reorder the terms: -16 + 12n = 1 + 9 + 5n Combine like terms: 1 + 9 = 10 -16 + 12n = 10 + 5n Solving -16 + 12n = 10 + 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. -16 + 12n + -5n = 10 + 5n + -5n Combine like terms: 12n + -5n = 7n -16 + 7n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -16 + 7n = 10 + 0 -16 + 7n = 10 Add '16' to each side of the equation. -16 + 16 + 7n = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 7n = 10 + 16 7n = 10 + 16 Combine like terms: 10 + 16 = 26 7n = 26 Divide each side by '7'. n = 3.714285714 Simplifying n = 3.714285714
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