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Simplifying -3b + -4c + -4b + 2 = 8c + -3 Reorder the terms: 2 + -3b + -4b + -4c = 8c + -3 Combine like terms: -3b + -4b = -7b 2 + -7b + -4c = 8c + -3 Reorder the terms: 2 + -7b + -4c = -3 + 8c Solving 2 + -7b + -4c = -3 + 8c Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7b + -2 + -4c = -3 + -2 + 8c Reorder the terms: 2 + -2 + -7b + -4c = -3 + -2 + 8c Combine like terms: 2 + -2 = 0 0 + -7b + -4c = -3 + -2 + 8c -7b + -4c = -3 + -2 + 8c Combine like terms: -3 + -2 = -5 -7b + -4c = -5 + 8c Add '4c' to each side of the equation. -7b + -4c + 4c = -5 + 8c + 4c Combine like terms: -4c + 4c = 0 -7b + 0 = -5 + 8c + 4c -7b = -5 + 8c + 4c Combine like terms: 8c + 4c = 12c -7b = -5 + 12c Divide each side by '-7'. b = 0.7142857143 + -1.714285714c Simplifying b = 0.7142857143 + -1.714285714c
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