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Simplifying 3t + -6(2t + -4) = 0 Reorder the terms: 3t + -6(-4 + 2t) = 0 3t + (-4 * -6 + 2t * -6) = 0 3t + (24 + -12t) = 0 Reorder the terms: 24 + 3t + -12t = 0 Combine like terms: 3t + -12t = -9t 24 + -9t = 0 Solving 24 + -9t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -9t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -9t = 0 + -24 -9t = 0 + -24 Combine like terms: 0 + -24 = -24 -9t = -24 Divide each side by '-9'. t = 2.666666667 Simplifying t = 2.666666667
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