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Simplifying -52 + 3t = -7t + 12 Reorder the terms: -52 + 3t = 12 + -7t Solving -52 + 3t = 12 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. -52 + 3t + 7t = 12 + -7t + 7t Combine like terms: 3t + 7t = 10t -52 + 10t = 12 + -7t + 7t Combine like terms: -7t + 7t = 0 -52 + 10t = 12 + 0 -52 + 10t = 12 Add '52' to each side of the equation. -52 + 52 + 10t = 12 + 52 Combine like terms: -52 + 52 = 0 0 + 10t = 12 + 52 10t = 12 + 52 Combine like terms: 12 + 52 = 64 10t = 64 Divide each side by '10'. t = 6.4 Simplifying t = 6.4
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