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Simplifying 4t + -12t + -24 + 38t + -38 = 0 Reorder the terms: -24 + -38 + 4t + -12t + 38t = 0 Combine like terms: -24 + -38 = -62 -62 + 4t + -12t + 38t = 0 Combine like terms: 4t + -12t = -8t -62 + -8t + 38t = 0 Combine like terms: -8t + 38t = 30t -62 + 30t = 0 Solving -62 + 30t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 30t = 0 + 62 Combine like terms: -62 + 62 = 0 0 + 30t = 0 + 62 30t = 0 + 62 Combine like terms: 0 + 62 = 62 30t = 62 Divide each side by '30'. t = 2.066666667 Simplifying t = 2.066666667
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