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