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Simplifying 2(3 + 2) + t = 12 + -1t Combine like terms: 3 + 2 = 5 2(5) + t = 12 + -1t Multiply 2 * 5 10 + t = 12 + -1t Solving 10 + t = 12 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 10 + t + t = 12 + -1t + t Combine like terms: t + t = 2t 10 + 2t = 12 + -1t + t Combine like terms: -1t + t = 0 10 + 2t = 12 + 0 10 + 2t = 12 Add '-10' to each side of the equation. 10 + -10 + 2t = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = 12 + -10 2t = 12 + -10 Combine like terms: 12 + -10 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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