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Simplifying 5(2n + -4) + 5(3n + -2) = 2(3n + 2) + 14n Reorder the terms: 5(-4 + 2n) + 5(3n + -2) = 2(3n + 2) + 14n (-4 * 5 + 2n * 5) + 5(3n + -2) = 2(3n + 2) + 14n (-20 + 10n) + 5(3n + -2) = 2(3n + 2) + 14n Reorder the terms: -20 + 10n + 5(-2 + 3n) = 2(3n + 2) + 14n -20 + 10n + (-2 * 5 + 3n * 5) = 2(3n + 2) + 14n -20 + 10n + (-10 + 15n) = 2(3n + 2) + 14n Reorder the terms: -20 + -10 + 10n + 15n = 2(3n + 2) + 14n Combine like terms: -20 + -10 = -30 -30 + 10n + 15n = 2(3n + 2) + 14n Combine like terms: 10n + 15n = 25n -30 + 25n = 2(3n + 2) + 14n Reorder the terms: -30 + 25n = 2(2 + 3n) + 14n -30 + 25n = (2 * 2 + 3n * 2) + 14n -30 + 25n = (4 + 6n) + 14n Combine like terms: 6n + 14n = 20n -30 + 25n = 4 + 20n Solving -30 + 25n = 4 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -30 + 25n + -20n = 4 + 20n + -20n Combine like terms: 25n + -20n = 5n -30 + 5n = 4 + 20n + -20n Combine like terms: 20n + -20n = 0 -30 + 5n = 4 + 0 -30 + 5n = 4 Add '30' to each side of the equation. -30 + 30 + 5n = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 5n = 4 + 30 5n = 4 + 30 Combine like terms: 4 + 30 = 34 5n = 34 Divide each side by '5'. n = 6.8 Simplifying n = 6.8
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