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Simplifying 6(3n + 3) = 8(7n + 6) + 7 Reorder the terms: 6(3 + 3n) = 8(7n + 6) + 7 (3 * 6 + 3n * 6) = 8(7n + 6) + 7 (18 + 18n) = 8(7n + 6) + 7 Reorder the terms: 18 + 18n = 8(6 + 7n) + 7 18 + 18n = (6 * 8 + 7n * 8) + 7 18 + 18n = (48 + 56n) + 7 Reorder the terms: 18 + 18n = 48 + 7 + 56n Combine like terms: 48 + 7 = 55 18 + 18n = 55 + 56n Solving 18 + 18n = 55 + 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 = 55 + 56n + -56n Combine like terms: 18n + -56n = -38n 18 + -38n = 55 + 56n + -56n Combine like terms: 56n + -56n = 0 18 + -38n = 55 + 0 18 + -38n = 55 Add '-18' to each side of the equation. 18 + -18 + -38n = 55 + -18 Combine like terms: 18 + -18 = 0 0 + -38n = 55 + -18 -38n = 55 + -18 Combine like terms: 55 + -18 = 37 -38n = 37 Divide each side by '-38'. n = -0.9736842105 Simplifying n = -0.9736842105
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