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Simplifying (2t + 10) = (3t + 15) Reorder the terms: (10 + 2t) = (3t + 15) Remove parenthesis around (10 + 2t) 10 + 2t = (3t + 15) Reorder the terms: 10 + 2t = (15 + 3t) Remove parenthesis around (15 + 3t) 10 + 2t = 15 + 3t Solving 10 + 2t = 15 + 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. 10 + 2t + -3t = 15 + 3t + -3t Combine like terms: 2t + -3t = -1t 10 + -1t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -1t = 15 + 0 10 + -1t = 15 Add '-10' to each side of the equation. 10 + -10 + -1t = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 15 + -10 -1t = 15 + -10 Combine like terms: 15 + -10 = 5 -1t = 5 Divide each side by '-1'. t = -5 Simplifying t = -5
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