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Simplifying 7(3n + -2) = (6n + 9) + 7 Reorder the terms: 7(-2 + 3n) = (6n + 9) + 7 (-2 * 7 + 3n * 7) = (6n + 9) + 7 (-14 + 21n) = (6n + 9) + 7 Reorder the terms: -14 + 21n = (9 + 6n) + 7 Remove parenthesis around (9 + 6n) -14 + 21n = 9 + 6n + 7 Reorder the terms: -14 + 21n = 9 + 7 + 6n Combine like terms: 9 + 7 = 16 -14 + 21n = 16 + 6n Solving -14 + 21n = 16 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -14 + 21n + -6n = 16 + 6n + -6n Combine like terms: 21n + -6n = 15n -14 + 15n = 16 + 6n + -6n Combine like terms: 6n + -6n = 0 -14 + 15n = 16 + 0 -14 + 15n = 16 Add '14' to each side of the equation. -14 + 14 + 15n = 16 + 14 Combine like terms: -14 + 14 = 0 0 + 15n = 16 + 14 15n = 16 + 14 Combine like terms: 16 + 14 = 30 15n = 30 Divide each side by '15'. n = 2 Simplifying n = 2
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