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Simplifying 5t + -3t = 5 + -3(t + -5) Combine like terms: 5t + -3t = 2t 2t = 5 + -3(t + -5) Reorder the terms: 2t = 5 + -3(-5 + t) 2t = 5 + (-5 * -3 + t * -3) 2t = 5 + (15 + -3t) Combine like terms: 5 + 15 = 20 2t = 20 + -3t Solving 2t = 20 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 2t + 3t = 20 + -3t + 3t Combine like terms: 2t + 3t = 5t 5t = 20 + -3t + 3t Combine like terms: -3t + 3t = 0 5t = 20 + 0 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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