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Simplifying 6b + -12b + 4c + 6d = 0 Combine like terms: 6b + -12b = -6b -6b + 4c + 6d = 0 Solving -6b + 4c + 6d = 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. -6b + 4c + -4c + 6d = 0 + -4c Combine like terms: 4c + -4c = 0 -6b + 0 + 6d = 0 + -4c -6b + 6d = 0 + -4c Remove the zero: -6b + 6d = -4c Add '-6d' to each side of the equation. -6b + 6d + -6d = -4c + -6d Combine like terms: 6d + -6d = 0 -6b + 0 = -4c + -6d -6b = -4c + -6d Divide each side by '-6'. b = 0.6666666667c + d Simplifying b = 0.6666666667c + d
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