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Simplifying 3(3n + -2) = (4n + 6) + 6 Reorder the terms: 3(-2 + 3n) = (4n + 6) + 6 (-2 * 3 + 3n * 3) = (4n + 6) + 6 (-6 + 9n) = (4n + 6) + 6 Reorder the terms: -6 + 9n = (6 + 4n) + 6 Remove parenthesis around (6 + 4n) -6 + 9n = 6 + 4n + 6 Reorder the terms: -6 + 9n = 6 + 6 + 4n Combine like terms: 6 + 6 = 12 -6 + 9n = 12 + 4n Solving -6 + 9n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -6 + 9n + -4n = 12 + 4n + -4n Combine like terms: 9n + -4n = 5n -6 + 5n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + 5n = 12 + 0 -6 + 5n = 12 Add '6' to each side of the equation. -6 + 6 + 5n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 5n = 12 + 6 5n = 12 + 6 Combine like terms: 12 + 6 = 18 5n = 18 Divide each side by '5'. n = 3.6 Simplifying n = 3.6
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