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Simplifying 8t + 2 = -2t + 12 Reorder the terms: 2 + 8t = -2t + 12 Reorder the terms: 2 + 8t = 12 + -2t Solving 2 + 8t = 12 + -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. 2 + 8t + 2t = 12 + -2t + 2t Combine like terms: 8t + 2t = 10t 2 + 10t = 12 + -2t + 2t Combine like terms: -2t + 2t = 0 2 + 10t = 12 + 0 2 + 10t = 12 Add '-2' to each side of the equation. 2 + -2 + 10t = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10t = 12 + -2 10t = 12 + -2 Combine like terms: 12 + -2 = 10 10t = 10 Divide each side by '10'. t = 1 Simplifying t = 1
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