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Simplifying 4t + -1(12t + -24) + 38t + -38 = 0 Reorder the terms: 4t + -1(-24 + 12t) + 38t + -38 = 0 4t + (-24 * -1 + 12t * -1) + 38t + -38 = 0 4t + (24 + -12t) + 38t + -38 = 0 Reorder the terms: 24 + -38 + 4t + -12t + 38t = 0 Combine like terms: 24 + -38 = -14 -14 + 4t + -12t + 38t = 0 Combine like terms: 4t + -12t = -8t -14 + -8t + 38t = 0 Combine like terms: -8t + 38t = 30t -14 + 30t = 0 Solving -14 + 30t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 30t = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 30t = 0 + 14 30t = 0 + 14 Combine like terms: 0 + 14 = 14 30t = 14 Divide each side by '30'. t = 0.4666666667 Simplifying t = 0.4666666667
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