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Simplifying 7(2n + 4) = 6(9n + 7) + 6 Reorder the terms: 7(4 + 2n) = 6(9n + 7) + 6 (4 * 7 + 2n * 7) = 6(9n + 7) + 6 (28 + 14n) = 6(9n + 7) + 6 Reorder the terms: 28 + 14n = 6(7 + 9n) + 6 28 + 14n = (7 * 6 + 9n * 6) + 6 28 + 14n = (42 + 54n) + 6 Reorder the terms: 28 + 14n = 42 + 6 + 54n Combine like terms: 42 + 6 = 48 28 + 14n = 48 + 54n Solving 28 + 14n = 48 + 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. 28 + 14n + -54n = 48 + 54n + -54n Combine like terms: 14n + -54n = -40n 28 + -40n = 48 + 54n + -54n Combine like terms: 54n + -54n = 0 28 + -40n = 48 + 0 28 + -40n = 48 Add '-28' to each side of the equation. 28 + -28 + -40n = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -40n = 48 + -28 -40n = 48 + -28 Combine like terms: 48 + -28 = 20 -40n = 20 Divide each side by '-40'. n = -0.5 Simplifying n = -0.5
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