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Simplifying 40t + 10 = 35t + 20 Reorder the terms: 10 + 40t = 35t + 20 Reorder the terms: 10 + 40t = 20 + 35t Solving 10 + 40t = 20 + 35t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35t' to each side of the equation. 10 + 40t + -35t = 20 + 35t + -35t Combine like terms: 40t + -35t = 5t 10 + 5t = 20 + 35t + -35t Combine like terms: 35t + -35t = 0 10 + 5t = 20 + 0 10 + 5t = 20 Add '-10' to each side of the equation. 10 + -10 + 5t = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 5t = 20 + -10 5t = 20 + -10 Combine like terms: 20 + -10 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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