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Simplifying 2 + 9t + 5 = 3t + -13 + t Reorder the terms: 2 + 5 + 9t = 3t + -13 + t Combine like terms: 2 + 5 = 7 7 + 9t = 3t + -13 + t Reorder the terms: 7 + 9t = -13 + 3t + t Combine like terms: 3t + t = 4t 7 + 9t = -13 + 4t Solving 7 + 9t = -13 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 7 + 9t + -4t = -13 + 4t + -4t Combine like terms: 9t + -4t = 5t 7 + 5t = -13 + 4t + -4t Combine like terms: 4t + -4t = 0 7 + 5t = -13 + 0 7 + 5t = -13 Add '-7' to each side of the equation. 7 + -7 + 5t = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 5t = -13 + -7 5t = -13 + -7 Combine like terms: -13 + -7 = -20 5t = -20 Divide each side by '5'. t = -4 Simplifying t = -4
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