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Simplifying 6ab + 9bc + 3bd = 0 Solving 6ab + 9bc + 3bd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9bc' to each side of the equation. 6ab + 9bc + -9bc + 3bd = 0 + -9bc Combine like terms: 9bc + -9bc = 0 6ab + 0 + 3bd = 0 + -9bc 6ab + 3bd = 0 + -9bc Remove the zero: 6ab + 3bd = -9bc Add '-3bd' to each side of the equation. 6ab + 3bd + -3bd = -9bc + -3bd Combine like terms: 3bd + -3bd = 0 6ab + 0 = -9bc + -3bd 6ab = -9bc + -3bd Divide each side by '6b'. a = -1.5c + -0.5d Simplifying a = -1.5c + -0.5d
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