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Simplifying 6(3n + 3) = 8(7n + 3) + 5 Reorder the terms: 6(3 + 3n) = 8(7n + 3) + 5 (3 * 6 + 3n * 6) = 8(7n + 3) + 5 (18 + 18n) = 8(7n + 3) + 5 Reorder the terms: 18 + 18n = 8(3 + 7n) + 5 18 + 18n = (3 * 8 + 7n * 8) + 5 18 + 18n = (24 + 56n) + 5 Reorder the terms: 18 + 18n = 24 + 5 + 56n Combine like terms: 24 + 5 = 29 18 + 18n = 29 + 56n Solving 18 + 18n = 29 + 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 = 29 + 56n + -56n Combine like terms: 18n + -56n = -38n 18 + -38n = 29 + 56n + -56n Combine like terms: 56n + -56n = 0 18 + -38n = 29 + 0 18 + -38n = 29 Add '-18' to each side of the equation. 18 + -18 + -38n = 29 + -18 Combine like terms: 18 + -18 = 0 0 + -38n = 29 + -18 -38n = 29 + -18 Combine like terms: 29 + -18 = 11 -38n = 11 Divide each side by '-38'. n = -0.2894736842 Simplifying n = -0.2894736842
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