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Simplifying 3(4b + -2c) + 8 + 7c = n (4b * 3 + -2c * 3) + 8 + 7c = n (12b + -6c) + 8 + 7c = n Reorder the terms: 8 + 12b + -6c + 7c = n Combine like terms: -6c + 7c = 1c 8 + 12b + 1c = n Solving 8 + 12b + 1c = n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 12b + -8 + 1c = -8 + n Reorder the terms: 8 + -8 + 12b + 1c = -8 + n Combine like terms: 8 + -8 = 0 0 + 12b + 1c = -8 + n 12b + 1c = -8 + n Add '-1c' to each side of the equation. 12b + 1c + -1c = -8 + -1c + n Combine like terms: 1c + -1c = 0 12b + 0 = -8 + -1c + n 12b = -8 + -1c + n Divide each side by '12'. b = -0.6666666667 + -0.08333333333c + 0.08333333333n Simplifying b = -0.6666666667 + -0.08333333333c + 0.08333333333n
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