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Simplifying 7(2n + -2) = (4n + 9) + 6 Reorder the terms: 7(-2 + 2n) = (4n + 9) + 6 (-2 * 7 + 2n * 7) = (4n + 9) + 6 (-14 + 14n) = (4n + 9) + 6 Reorder the terms: -14 + 14n = (9 + 4n) + 6 Remove parenthesis around (9 + 4n) -14 + 14n = 9 + 4n + 6 Reorder the terms: -14 + 14n = 9 + 6 + 4n Combine like terms: 9 + 6 = 15 -14 + 14n = 15 + 4n Solving -14 + 14n = 15 + 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 + 14n + -4n = 15 + 4n + -4n Combine like terms: 14n + -4n = 10n -14 + 10n = 15 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + 10n = 15 + 0 -14 + 10n = 15 Add '14' to each side of the equation. -14 + 14 + 10n = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 10n = 15 + 14 10n = 15 + 14 Combine like terms: 15 + 14 = 29 10n = 29 Divide each side by '10'. n = 2.9 Simplifying n = 2.9
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