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Simplifying 2 + 9t + 5 = 3t + -13t Reorder the terms: 2 + 5 + 9t = 3t + -13t Combine like terms: 2 + 5 = 7 7 + 9t = 3t + -13t Combine like terms: 3t + -13t = -10t 7 + 9t = -10t Solving 7 + 9t = -10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10t' to each side of the equation. 7 + 9t + 10t = -10t + 10t Combine like terms: 9t + 10t = 19t 7 + 19t = -10t + 10t Combine like terms: -10t + 10t = 0 7 + 19t = 0 Add '-7' to each side of the equation. 7 + -7 + 19t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 19t = 0 + -7 19t = 0 + -7 Combine like terms: 0 + -7 = -7 19t = -7 Divide each side by '19'. t = -0.3684210526 Simplifying t = -0.3684210526
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