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Simplifying (3t + -15) = (2t + -10) Reorder the terms: (-15 + 3t) = (2t + -10) Remove parenthesis around (-15 + 3t) -15 + 3t = (2t + -10) Reorder the terms: -15 + 3t = (-10 + 2t) Remove parenthesis around (-10 + 2t) -15 + 3t = -10 + 2t Solving -15 + 3t = -10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -15 + 3t + -2t = -10 + 2t + -2t Combine like terms: 3t + -2t = 1t -15 + 1t = -10 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + 1t = -10 + 0 -15 + 1t = -10 Add '15' to each side of the equation. -15 + 15 + 1t = -10 + 15 Combine like terms: -15 + 15 = 0 0 + 1t = -10 + 15 1t = -10 + 15 Combine like terms: -10 + 15 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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