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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 = -25 -1t = -25 Divide each side by '-1'. t = 25 Simplifying t = 25
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