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Simplifying 2 + 7t = 32 + -3t Solving 2 + 7t = 32 + -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 + 7t + 3t = 32 + -3t + 3t Combine like terms: 7t + 3t = 10t 2 + 10t = 32 + -3t + 3t Combine like terms: -3t + 3t = 0 2 + 10t = 32 + 0 2 + 10t = 32 Add '-2' to each side of the equation. 2 + -2 + 10t = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 10t = 32 + -2 10t = 32 + -2 Combine like terms: 32 + -2 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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