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Simplifying 35t + 20 = 15t + 100 Reorder the terms: 20 + 35t = 15t + 100 Reorder the terms: 20 + 35t = 100 + 15t Solving 20 + 35t = 100 + 15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15t' to each side of the equation. 20 + 35t + -15t = 100 + 15t + -15t Combine like terms: 35t + -15t = 20t 20 + 20t = 100 + 15t + -15t Combine like terms: 15t + -15t = 0 20 + 20t = 100 + 0 20 + 20t = 100 Add '-20' to each side of the equation. 20 + -20 + 20t = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 20t = 100 + -20 20t = 100 + -20 Combine like terms: 100 + -20 = 80 20t = 80 Divide each side by '20'. t = 4 Simplifying t = 4
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