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Simplifying 3t + 5 = 2t + -7 Reorder the terms: 5 + 3t = 2t + -7 Reorder the terms: 5 + 3t = -7 + 2t Solving 5 + 3t = -7 + 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. 5 + 3t + -2t = -7 + 2t + -2t Combine like terms: 3t + -2t = 1t 5 + 1t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 5 + 1t = -7 + 0 5 + 1t = -7 Add '-5' to each side of the equation. 5 + -5 + 1t = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 1t = -7 + -5 1t = -7 + -5 Combine like terms: -7 + -5 = -12 1t = -12 Divide each side by '1'. t = -12 Simplifying t = -12
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