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Simplifying 4t + 19 = -8t + -13 Reorder the terms: 19 + 4t = -8t + -13 Reorder the terms: 19 + 4t = -13 + -8t Solving 19 + 4t = -13 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 19 + 4t + 8t = -13 + -8t + 8t Combine like terms: 4t + 8t = 12t 19 + 12t = -13 + -8t + 8t Combine like terms: -8t + 8t = 0 19 + 12t = -13 + 0 19 + 12t = -13 Add '-19' to each side of the equation. 19 + -19 + 12t = -13 + -19 Combine like terms: 19 + -19 = 0 0 + 12t = -13 + -19 12t = -13 + -19 Combine like terms: -13 + -19 = -32 12t = -32 Divide each side by '12'. t = -2.666666667 Simplifying t = -2.666666667
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