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Simplifying 6(3n + 3) = 7(8n + 3) + 5 Reorder the terms: 6(3 + 3n) = 7(8n + 3) + 5 (3 * 6 + 3n * 6) = 7(8n + 3) + 5 (18 + 18n) = 7(8n + 3) + 5 Reorder the terms: 18 + 18n = 7(3 + 8n) + 5 18 + 18n = (3 * 7 + 8n * 7) + 5 18 + 18n = (21 + 56n) + 5 Reorder the terms: 18 + 18n = 21 + 5 + 56n Combine like terms: 21 + 5 = 26 18 + 18n = 26 + 56n Solving 18 + 18n = 26 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 18 + 18n + -56n = 26 + 56n + -56n Combine like terms: 18n + -56n = -38n 18 + -38n = 26 + 56n + -56n Combine like terms: 56n + -56n = 0 18 + -38n = 26 + 0 18 + -38n = 26 Add '-18' to each side of the equation. 18 + -18 + -38n = 26 + -18 Combine like terms: 18 + -18 = 0 0 + -38n = 26 + -18 -38n = 26 + -18 Combine like terms: 26 + -18 = 8 -38n = 8 Divide each side by '-38'. n = -0.2105263158 Simplifying n = -0.2105263158
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