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Simplifying 4(3n + -5) = (7n + 8) + 3 Reorder the terms: 4(-5 + 3n) = (7n + 8) + 3 (-5 * 4 + 3n * 4) = (7n + 8) + 3 (-20 + 12n) = (7n + 8) + 3 Reorder the terms: -20 + 12n = (8 + 7n) + 3 Remove parenthesis around (8 + 7n) -20 + 12n = 8 + 7n + 3 Reorder the terms: -20 + 12n = 8 + 3 + 7n Combine like terms: 8 + 3 = 11 -20 + 12n = 11 + 7n Solving -20 + 12n = 11 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -20 + 12n + -7n = 11 + 7n + -7n Combine like terms: 12n + -7n = 5n -20 + 5n = 11 + 7n + -7n Combine like terms: 7n + -7n = 0 -20 + 5n = 11 + 0 -20 + 5n = 11 Add '20' to each side of the equation. -20 + 20 + 5n = 11 + 20 Combine like terms: -20 + 20 = 0 0 + 5n = 11 + 20 5n = 11 + 20 Combine like terms: 11 + 20 = 31 5n = 31 Divide each side by '5'. n = 6.2 Simplifying n = 6.2
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