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Simplifying 4t + 9 = -78t + -13 Reorder the terms: 9 + 4t = -78t + -13 Reorder the terms: 9 + 4t = -13 + -78t Solving 9 + 4t = -13 + -78t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '78t' to each side of the equation. 9 + 4t + 78t = -13 + -78t + 78t Combine like terms: 4t + 78t = 82t 9 + 82t = -13 + -78t + 78t Combine like terms: -78t + 78t = 0 9 + 82t = -13 + 0 9 + 82t = -13 Add '-9' to each side of the equation. 9 + -9 + 82t = -13 + -9 Combine like terms: 9 + -9 = 0 0 + 82t = -13 + -9 82t = -13 + -9 Combine like terms: -13 + -9 = -22 82t = -22 Divide each side by '82'. t = -0.2682926829 Simplifying t = -0.2682926829
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