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Simplifying 7(3n + -3) = (7n + 4) + 6 Reorder the terms: 7(-3 + 3n) = (7n + 4) + 6 (-3 * 7 + 3n * 7) = (7n + 4) + 6 (-21 + 21n) = (7n + 4) + 6 Reorder the terms: -21 + 21n = (4 + 7n) + 6 Remove parenthesis around (4 + 7n) -21 + 21n = 4 + 7n + 6 Reorder the terms: -21 + 21n = 4 + 6 + 7n Combine like terms: 4 + 6 = 10 -21 + 21n = 10 + 7n Solving -21 + 21n = 10 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -21 + 21n + -7n = 10 + 7n + -7n Combine like terms: 21n + -7n = 14n -21 + 14n = 10 + 7n + -7n Combine like terms: 7n + -7n = 0 -21 + 14n = 10 + 0 -21 + 14n = 10 Add '21' to each side of the equation. -21 + 21 + 14n = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 14n = 10 + 21 14n = 10 + 21 Combine like terms: 10 + 21 = 31 14n = 31 Divide each side by '14'. n = 2.214285714 Simplifying n = 2.214285714
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