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Simplifying 2(9n + -1) + 7(b + 6) = -60 Reorder the terms: 2(-1 + 9n) + 7(b + 6) = -60 (-1 * 2 + 9n * 2) + 7(b + 6) = -60 (-2 + 18n) + 7(b + 6) = -60 Reorder the terms: -2 + 18n + 7(6 + b) = -60 -2 + 18n + (6 * 7 + b * 7) = -60 -2 + 18n + (42 + 7b) = -60 Reorder the terms: -2 + 42 + 7b + 18n = -60 Combine like terms: -2 + 42 = 40 40 + 7b + 18n = -60 Solving 40 + 7b + 18n = -60 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 7b + -40 + 18n = -60 + -40 Reorder the terms: 40 + -40 + 7b + 18n = -60 + -40 Combine like terms: 40 + -40 = 0 0 + 7b + 18n = -60 + -40 7b + 18n = -60 + -40 Combine like terms: -60 + -40 = -100 7b + 18n = -100 Add '-18n' to each side of the equation. 7b + 18n + -18n = -100 + -18n Combine like terms: 18n + -18n = 0 7b + 0 = -100 + -18n 7b = -100 + -18n Divide each side by '7'. b = -14.28571429 + -2.571428571n Simplifying b = -14.28571429 + -2.571428571n
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