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Simplifying 5t + 5 + 5t + -9t = 3 + 1 Reorder the terms: 5 + 5t + 5t + -9t = 3 + 1 Combine like terms: 5t + 5t = 10t 5 + 10t + -9t = 3 + 1 Combine like terms: 10t + -9t = 1t 5 + 1t = 3 + 1 Combine like terms: 3 + 1 = 4 5 + 1t = 4 Solving 5 + 1t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1t = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = 4 + -5 1t = 4 + -5 Combine like terms: 4 + -5 = -1 1t = -1 Divide each side by '1'. t = -1 Simplifying t = -1
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