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Simplifying 15n + 6 = 3(4n + 3) Reorder the terms: 6 + 15n = 3(4n + 3) Reorder the terms: 6 + 15n = 3(3 + 4n) 6 + 15n = (3 * 3 + 4n * 3) 6 + 15n = (9 + 12n) Solving 6 + 15n = 9 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 6 + 15n + -12n = 9 + 12n + -12n Combine like terms: 15n + -12n = 3n 6 + 3n = 9 + 12n + -12n Combine like terms: 12n + -12n = 0 6 + 3n = 9 + 0 6 + 3n = 9 Add '-6' to each side of the equation. 6 + -6 + 3n = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = 9 + -6 3n = 9 + -6 Combine like terms: 9 + -6 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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