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Simplifying 9a2 + -24ad + 16d = 3a(3a + -8d + 16d) Reorder the terms: -24ad + 9a2 + 16d = 3a(3a + -8d + 16d) Combine like terms: -8d + 16d = 8d -24ad + 9a2 + 16d = 3a(3a + 8d) -24ad + 9a2 + 16d = (3a * 3a + 8d * 3a) Reorder the terms: -24ad + 9a2 + 16d = (24ad + 9a2) -24ad + 9a2 + 16d = (24ad + 9a2) Add '-9a2' to each side of the equation. -24ad + 9a2 + -9a2 + 16d = 24ad + 9a2 + -9a2 Combine like terms: 9a2 + -9a2 = 0 -24ad + 0 + 16d = 24ad + 9a2 + -9a2 -24ad + 16d = 24ad + 9a2 + -9a2 Combine like terms: 9a2 + -9a2 = 0 -24ad + 16d = 24ad + 0 -24ad + 16d = 24ad Solving -24ad + 16d = 24ad Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24ad' to each side of the equation. -24ad + -24ad + 16d = 24ad + -24ad Combine like terms: -24ad + -24ad = -48ad -48ad + 16d = 24ad + -24ad Combine like terms: 24ad + -24ad = 0 -48ad + 16d = 0 Add '-16d' to each side of the equation. -48ad + 16d + -16d = 0 + -16d Combine like terms: 16d + -16d = 0 -48ad + 0 = 0 + -16d -48ad = 0 + -16d Remove the zero: -48ad = -16d Divide each side by '-48d'. a = 0.3333333333 Simplifying a = 0.3333333333
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