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Simplifying 5(2n + 4) = 7(6n + 5) + 9 Reorder the terms: 5(4 + 2n) = 7(6n + 5) + 9 (4 * 5 + 2n * 5) = 7(6n + 5) + 9 (20 + 10n) = 7(6n + 5) + 9 Reorder the terms: 20 + 10n = 7(5 + 6n) + 9 20 + 10n = (5 * 7 + 6n * 7) + 9 20 + 10n = (35 + 42n) + 9 Reorder the terms: 20 + 10n = 35 + 9 + 42n Combine like terms: 35 + 9 = 44 20 + 10n = 44 + 42n Solving 20 + 10n = 44 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 20 + 10n + -42n = 44 + 42n + -42n Combine like terms: 10n + -42n = -32n 20 + -32n = 44 + 42n + -42n Combine like terms: 42n + -42n = 0 20 + -32n = 44 + 0 20 + -32n = 44 Add '-20' to each side of the equation. 20 + -20 + -32n = 44 + -20 Combine like terms: 20 + -20 = 0 0 + -32n = 44 + -20 -32n = 44 + -20 Combine like terms: 44 + -20 = 24 -32n = 24 Divide each side by '-32'. n = -0.75 Simplifying n = -0.75
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