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Simplifying 4t + -9 + 6(2t + -9) = 0 Reorder the terms: 4t + -9 + 6(-9 + 2t) = 0 4t + -9 + (-9 * 6 + 2t * 6) = 0 4t + -9 + (-54 + 12t) = 0 Reorder the terms: -9 + -54 + 4t + 12t = 0 Combine like terms: -9 + -54 = -63 -63 + 4t + 12t = 0 Combine like terms: 4t + 12t = 16t -63 + 16t = 0 Solving -63 + 16t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 16t = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 16t = 0 + 63 16t = 0 + 63 Combine like terms: 0 + 63 = 63 16t = 63 Divide each side by '16'. t = 3.9375 Simplifying t = 3.9375
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