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Simplifying 6b(2a + -3c) + -5d(2a + -3c) = 0 (2a * 6b + -3c * 6b) + -5d(2a + -3c) = 0 (12ab + -18bc) + -5d(2a + -3c) = 0 12ab + -18bc + (2a * -5d + -3c * -5d) = 0 12ab + -18bc + (-10ad + 15cd) = 0 Reorder the terms: 12ab + -10ad + -18bc + 15cd = 0 Solving 12ab + -10ad + -18bc + 15cd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18bc' to each side of the equation. 12ab + -10ad + -18bc + 18bc + 15cd = 0 + 18bc Combine like terms: -18bc + 18bc = 0 12ab + -10ad + 0 + 15cd = 0 + 18bc 12ab + -10ad + 15cd = 0 + 18bc Remove the zero: 12ab + -10ad + 15cd = 18bc Add '-15cd' to each side of the equation. 12ab + -10ad + 15cd + -15cd = 18bc + -15cd Combine like terms: 15cd + -15cd = 0 12ab + -10ad + 0 = 18bc + -15cd 12ab + -10ad = 18bc + -15cd Reorder the terms: 12ab + -10ad + -18bc + 15cd = 18bc + -18bc + -15cd + 15cd Combine like terms: 18bc + -18bc = 0 12ab + -10ad + -18bc + 15cd = 0 + -15cd + 15cd 12ab + -10ad + -18bc + 15cd = -15cd + 15cd Combine like terms: -15cd + 15cd = 0 12ab + -10ad + -18bc + 15cd = 0 The solution to this equation could not be determined.
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