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Simplifying 7(3n + -3) = (3n + 9) + 6 Reorder the terms: 7(-3 + 3n) = (3n + 9) + 6 (-3 * 7 + 3n * 7) = (3n + 9) + 6 (-21 + 21n) = (3n + 9) + 6 Reorder the terms: -21 + 21n = (9 + 3n) + 6 Remove parenthesis around (9 + 3n) -21 + 21n = 9 + 3n + 6 Reorder the terms: -21 + 21n = 9 + 6 + 3n Combine like terms: 9 + 6 = 15 -21 + 21n = 15 + 3n Solving -21 + 21n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -21 + 21n + -3n = 15 + 3n + -3n Combine like terms: 21n + -3n = 18n -21 + 18n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 -21 + 18n = 15 + 0 -21 + 18n = 15 Add '21' to each side of the equation. -21 + 21 + 18n = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 18n = 15 + 21 18n = 15 + 21 Combine like terms: 15 + 21 = 36 18n = 36 Divide each side by '18'. n = 2 Simplifying n = 2
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