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Simplifying 10b + 8c + -14b + -12c = 0 Reorder the terms: 10b + -14b + 8c + -12c = 0 Combine like terms: 10b + -14b = -4b -4b + 8c + -12c = 0 Combine like terms: 8c + -12c = -4c -4b + -4c = 0 Solving -4b + -4c = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4c' to each side of the equation. -4b + -4c + 4c = 0 + 4c Combine like terms: -4c + 4c = 0 -4b + 0 = 0 + 4c -4b = 0 + 4c Remove the zero: -4b = 4c Divide each side by '-4'. b = -1c Simplifying b = -1c
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