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Simplifying 3t + 8 = 5t + 3 + -9t Reorder the terms: 8 + 3t = 5t + 3 + -9t Reorder the terms: 8 + 3t = 3 + 5t + -9t Combine like terms: 5t + -9t = -4t 8 + 3t = 3 + -4t Solving 8 + 3t = 3 + -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. 8 + 3t + 4t = 3 + -4t + 4t Combine like terms: 3t + 4t = 7t 8 + 7t = 3 + -4t + 4t Combine like terms: -4t + 4t = 0 8 + 7t = 3 + 0 8 + 7t = 3 Add '-8' to each side of the equation. 8 + -8 + 7t = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 7t = 3 + -8 7t = 3 + -8 Combine like terms: 3 + -8 = -5 7t = -5 Divide each side by '7'. t = -0.7142857143 Simplifying t = -0.7142857143
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