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Simplifying -5d(3a + 4d + -3c) = 0 Reorder the terms: -5d(3a + -3c + 4d) = 0 (3a * -5d + -3c * -5d + 4d * -5d) = 0 (-15ad + 15cd + -20d2) = 0 Solving -15ad + 15cd + -20d2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15cd' to each side of the equation. -15ad + 15cd + -15cd + -20d2 = 0 + -15cd Combine like terms: 15cd + -15cd = 0 -15ad + 0 + -20d2 = 0 + -15cd -15ad + -20d2 = 0 + -15cd Remove the zero: -15ad + -20d2 = -15cd Add '20d2' to each side of the equation. -15ad + -20d2 + 20d2 = -15cd + 20d2 Combine like terms: -20d2 + 20d2 = 0 -15ad + 0 = -15cd + 20d2 -15ad = -15cd + 20d2 Divide each side by '-15d'. a = c + -1.333333333d Simplifying a = c + -1.333333333d
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