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Simplifying 5t + -7 = 3t + 2 Reorder the terms: -7 + 5t = 3t + 2 Reorder the terms: -7 + 5t = 2 + 3t Solving -7 + 5t = 2 + 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. -7 + 5t + -3t = 2 + 3t + -3t Combine like terms: 5t + -3t = 2t -7 + 2t = 2 + 3t + -3t Combine like terms: 3t + -3t = 0 -7 + 2t = 2 + 0 -7 + 2t = 2 Add '7' to each side of the equation. -7 + 7 + 2t = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = 2 + 7 2t = 2 + 7 Combine like terms: 2 + 7 = 9 2t = 9 Divide each side by '2'. t = 4.5 Simplifying t = 4.5
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