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Simplifying 5(2n + 2) = 6(4n + 6) + 4 Reorder the terms: 5(2 + 2n) = 6(4n + 6) + 4 (2 * 5 + 2n * 5) = 6(4n + 6) + 4 (10 + 10n) = 6(4n + 6) + 4 Reorder the terms: 10 + 10n = 6(6 + 4n) + 4 10 + 10n = (6 * 6 + 4n * 6) + 4 10 + 10n = (36 + 24n) + 4 Reorder the terms: 10 + 10n = 36 + 4 + 24n Combine like terms: 36 + 4 = 40 10 + 10n = 40 + 24n Solving 10 + 10n = 40 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 10 + 10n + -24n = 40 + 24n + -24n Combine like terms: 10n + -24n = -14n 10 + -14n = 40 + 24n + -24n Combine like terms: 24n + -24n = 0 10 + -14n = 40 + 0 10 + -14n = 40 Add '-10' to each side of the equation. 10 + -10 + -14n = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -14n = 40 + -10 -14n = 40 + -10 Combine like terms: 40 + -10 = 30 -14n = 30 Divide each side by '-14'. n = -2.142857143 Simplifying n = -2.142857143
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