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Simplifying 3(4b + -2c) + 7c + 8 = 0 (4b * 3 + -2c * 3) + 7c + 8 = 0 (12b + -6c) + 7c + 8 = 0 Reorder the terms: 8 + 12b + -6c + 7c = 0 Combine like terms: -6c + 7c = 1c 8 + 12b + 1c = 0 Solving 8 + 12b + 1c = 0 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 = 0 + -8 Reorder the terms: 8 + -8 + 12b + 1c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12b + 1c = 0 + -8 12b + 1c = 0 + -8 Combine like terms: 0 + -8 = -8 12b + 1c = -8 Add '-1c' to each side of the equation. 12b + 1c + -1c = -8 + -1c Combine like terms: 1c + -1c = 0 12b + 0 = -8 + -1c 12b = -8 + -1c Divide each side by '12'. b = -0.6666666667 + -0.08333333333c Simplifying b = -0.6666666667 + -0.08333333333c
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