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Simplifying (2t + 7) = (10t + 5) Reorder the terms: (7 + 2t) = (10t + 5) Remove parenthesis around (7 + 2t) 7 + 2t = (10t + 5) Reorder the terms: 7 + 2t = (5 + 10t) Remove parenthesis around (5 + 10t) 7 + 2t = 5 + 10t Solving 7 + 2t = 5 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 7 + 2t + -10t = 5 + 10t + -10t Combine like terms: 2t + -10t = -8t 7 + -8t = 5 + 10t + -10t Combine like terms: 10t + -10t = 0 7 + -8t = 5 + 0 7 + -8t = 5 Add '-7' to each side of the equation. 7 + -7 + -8t = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -8t = 5 + -7 -8t = 5 + -7 Combine like terms: 5 + -7 = -2 -8t = -2 Divide each side by '-8'. t = 0.25 Simplifying t = 0.25
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