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Simplifying 2n + 3(7n + -4) = 2(9n + 9) Reorder the terms: 2n + 3(-4 + 7n) = 2(9n + 9) 2n + (-4 * 3 + 7n * 3) = 2(9n + 9) 2n + (-12 + 21n) = 2(9n + 9) Reorder the terms: -12 + 2n + 21n = 2(9n + 9) Combine like terms: 2n + 21n = 23n -12 + 23n = 2(9n + 9) Reorder the terms: -12 + 23n = 2(9 + 9n) -12 + 23n = (9 * 2 + 9n * 2) -12 + 23n = (18 + 18n) Solving -12 + 23n = 18 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -12 + 23n + -18n = 18 + 18n + -18n Combine like terms: 23n + -18n = 5n -12 + 5n = 18 + 18n + -18n Combine like terms: 18n + -18n = 0 -12 + 5n = 18 + 0 -12 + 5n = 18 Add '12' to each side of the equation. -12 + 12 + 5n = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 5n = 18 + 12 5n = 18 + 12 Combine like terms: 18 + 12 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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