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Simplifying -3d(a + 2b + -9d) = 0 (a * -3d + 2b * -3d + -9d * -3d) = 0 (-3ad + -6bd + 27d2) = 0 Solving -3ad + -6bd + 27d2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6bd' to each side of the equation. -3ad + -6bd + 6bd + 27d2 = 0 + 6bd Combine like terms: -6bd + 6bd = 0 -3ad + 0 + 27d2 = 0 + 6bd -3ad + 27d2 = 0 + 6bd Remove the zero: -3ad + 27d2 = 6bd Add '-27d2' to each side of the equation. -3ad + 27d2 + -27d2 = 6bd + -27d2 Combine like terms: 27d2 + -27d2 = 0 -3ad + 0 = 6bd + -27d2 -3ad = 6bd + -27d2 Divide each side by '-3d'. a = -2b + 9d Simplifying a = -2b + 9d
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