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Simplifying 5t + -3t = 5 + -1(t + 5) Combine like terms: 5t + -3t = 2t 2t = 5 + -1(t + 5) Reorder the terms: 2t = 5 + -1(5 + t) 2t = 5 + (5 * -1 + t * -1) 2t = 5 + (-5 + -1t) Combine like terms: 5 + -5 = 0 2t = 0 + -1t 2t = -1t Solving 2t = -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 2t + t = -1t + t Combine like terms: 2t + t = 3t 3t = -1t + t Combine like terms: -1t + t = 0 3t = 0 Divide each side by '3'. t = 0 Simplifying t = 0
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