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Simplifying 5(2n + 4) = 7(9n + 2) + 1 Reorder the terms: 5(4 + 2n) = 7(9n + 2) + 1 (4 * 5 + 2n * 5) = 7(9n + 2) + 1 (20 + 10n) = 7(9n + 2) + 1 Reorder the terms: 20 + 10n = 7(2 + 9n) + 1 20 + 10n = (2 * 7 + 9n * 7) + 1 20 + 10n = (14 + 63n) + 1 Reorder the terms: 20 + 10n = 14 + 1 + 63n Combine like terms: 14 + 1 = 15 20 + 10n = 15 + 63n Solving 20 + 10n = 15 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 20 + 10n + -63n = 15 + 63n + -63n Combine like terms: 10n + -63n = -53n 20 + -53n = 15 + 63n + -63n Combine like terms: 63n + -63n = 0 20 + -53n = 15 + 0 20 + -53n = 15 Add '-20' to each side of the equation. 20 + -20 + -53n = 15 + -20 Combine like terms: 20 + -20 = 0 0 + -53n = 15 + -20 -53n = 15 + -20 Combine like terms: 15 + -20 = -5 -53n = -5 Divide each side by '-53'. n = 0.09433962264 Simplifying n = 0.09433962264
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