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Simplifying 12c + 7 + 2b + 10c + 5 = 0 Reorder the terms: 7 + 5 + 2b + 12c + 10c = 0 Combine like terms: 7 + 5 = 12 12 + 2b + 12c + 10c = 0 Combine like terms: 12c + 10c = 22c 12 + 2b + 22c = 0 Solving 12 + 2b + 22c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2b + -12 + 22c = 0 + -12 Reorder the terms: 12 + -12 + 2b + 22c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2b + 22c = 0 + -12 2b + 22c = 0 + -12 Combine like terms: 0 + -12 = -12 2b + 22c = -12 Add '-22c' to each side of the equation. 2b + 22c + -22c = -12 + -22c Combine like terms: 22c + -22c = 0 2b + 0 = -12 + -22c 2b = -12 + -22c Divide each side by '2'. b = -6 + -11c Simplifying b = -6 + -11c
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