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Simplifying 8t + 12 = -2t + 32 Reorder the terms: 12 + 8t = -2t + 32 Reorder the terms: 12 + 8t = 32 + -2t Solving 12 + 8t = 32 + -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. 12 + 8t + 2t = 32 + -2t + 2t Combine like terms: 8t + 2t = 10t 12 + 10t = 32 + -2t + 2t Combine like terms: -2t + 2t = 0 12 + 10t = 32 + 0 12 + 10t = 32 Add '-12' to each side of the equation. 12 + -12 + 10t = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 10t = 32 + -12 10t = 32 + -12 Combine like terms: 32 + -12 = 20 10t = 20 Divide each side by '10'. t = 2 Simplifying t = 2
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