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