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Simplifying 4(3n + -5) = (5n + 1) + 9 Reorder the terms: 4(-5 + 3n) = (5n + 1) + 9 (-5 * 4 + 3n * 4) = (5n + 1) + 9 (-20 + 12n) = (5n + 1) + 9 Reorder the terms: -20 + 12n = (1 + 5n) + 9 Remove parenthesis around (1 + 5n) -20 + 12n = 1 + 5n + 9 Reorder the terms: -20 + 12n = 1 + 9 + 5n Combine like terms: 1 + 9 = 10 -20 + 12n = 10 + 5n Solving -20 + 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. -20 + 12n + -5n = 10 + 5n + -5n Combine like terms: 12n + -5n = 7n -20 + 7n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -20 + 7n = 10 + 0 -20 + 7n = 10 Add '20' to each side of the equation. -20 + 20 + 7n = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 7n = 10 + 20 7n = 10 + 20 Combine like terms: 10 + 20 = 30 7n = 30 Divide each side by '7'. n = 4.285714286 Simplifying n = 4.285714286
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