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Simplifying 7(3n + -3) = (7n + 3) + 4 Reorder the terms: 7(-3 + 3n) = (7n + 3) + 4 (-3 * 7 + 3n * 7) = (7n + 3) + 4 (-21 + 21n) = (7n + 3) + 4 Reorder the terms: -21 + 21n = (3 + 7n) + 4 Remove parenthesis around (3 + 7n) -21 + 21n = 3 + 7n + 4 Reorder the terms: -21 + 21n = 3 + 4 + 7n Combine like terms: 3 + 4 = 7 -21 + 21n = 7 + 7n Solving -21 + 21n = 7 + 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 = 7 + 7n + -7n Combine like terms: 21n + -7n = 14n -21 + 14n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -21 + 14n = 7 + 0 -21 + 14n = 7 Add '21' to each side of the equation. -21 + 21 + 14n = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 14n = 7 + 21 14n = 7 + 21 Combine like terms: 7 + 21 = 28 14n = 28 Divide each side by '14'. n = 2 Simplifying n = 2
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