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Simplifying 7(3n + -3) = (6n + 7) + 5 Reorder the terms: 7(-3 + 3n) = (6n + 7) + 5 (-3 * 7 + 3n * 7) = (6n + 7) + 5 (-21 + 21n) = (6n + 7) + 5 Reorder the terms: -21 + 21n = (7 + 6n) + 5 Remove parenthesis around (7 + 6n) -21 + 21n = 7 + 6n + 5 Reorder the terms: -21 + 21n = 7 + 5 + 6n Combine like terms: 7 + 5 = 12 -21 + 21n = 12 + 6n Solving -21 + 21n = 12 + 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. -21 + 21n + -6n = 12 + 6n + -6n Combine like terms: 21n + -6n = 15n -21 + 15n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -21 + 15n = 12 + 0 -21 + 15n = 12 Add '21' to each side of the equation. -21 + 21 + 15n = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 15n = 12 + 21 15n = 12 + 21 Combine like terms: 12 + 21 = 33 15n = 33 Divide each side by '15'. n = 2.2 Simplifying n = 2.2
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