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Simplifying 4w2 + -12at + 9t2 = 0 Reorder the terms: -12at + 9t2 + 4w2 = 0 Solving -12at + 9t2 + 4w2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9t2' to each side of the equation. -12at + 9t2 + -9t2 + 4w2 = 0 + -9t2 Combine like terms: 9t2 + -9t2 = 0 -12at + 0 + 4w2 = 0 + -9t2 -12at + 4w2 = 0 + -9t2 Remove the zero: -12at + 4w2 = -9t2 Add '-4w2' to each side of the equation. -12at + 4w2 + -4w2 = -9t2 + -4w2 Combine like terms: 4w2 + -4w2 = 0 -12at + 0 = -9t2 + -4w2 -12at = -9t2 + -4w2 Divide each side by '-12t'. a = 0.75t + 0.3333333333t-1w2 Simplifying a = 0.75t + 0.3333333333t-1w2 Reorder the terms: a = 0.3333333333t-1w2 + 0.75t
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