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Simplifying 7(3n + -2) = (4n + 6) + 4 Reorder the terms: 7(-2 + 3n) = (4n + 6) + 4 (-2 * 7 + 3n * 7) = (4n + 6) + 4 (-14 + 21n) = (4n + 6) + 4 Reorder the terms: -14 + 21n = (6 + 4n) + 4 Remove parenthesis around (6 + 4n) -14 + 21n = 6 + 4n + 4 Reorder the terms: -14 + 21n = 6 + 4 + 4n Combine like terms: 6 + 4 = 10 -14 + 21n = 10 + 4n Solving -14 + 21n = 10 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -14 + 21n + -4n = 10 + 4n + -4n Combine like terms: 21n + -4n = 17n -14 + 17n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + 17n = 10 + 0 -14 + 17n = 10 Add '14' to each side of the equation. -14 + 14 + 17n = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 17n = 10 + 14 17n = 10 + 14 Combine like terms: 10 + 14 = 24 17n = 24 Divide each side by '17'. n = 1.411764706 Simplifying n = 1.411764706
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