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Simplifying 2(4t + 1t + 12) = 0 Reorder the terms: 2(12 + 4t + 1t) = 0 Combine like terms: 4t + 1t = 5t 2(12 + 5t) = 0 (12 * 2 + 5t * 2) = 0 (24 + 10t) = 0 Solving 24 + 10t = 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 + 10t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10t = 0 + -24 10t = 0 + -24 Combine like terms: 0 + -24 = -24 10t = -24 Divide each side by '10'. t = -2.4 Simplifying t = -2.4
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