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Simplifying 3t + 7 = -2t + 27 Reorder the terms: 7 + 3t = -2t + 27 Reorder the terms: 7 + 3t = 27 + -2t Solving 7 + 3t = 27 + -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. 7 + 3t + 2t = 27 + -2t + 2t Combine like terms: 3t + 2t = 5t 7 + 5t = 27 + -2t + 2t Combine like terms: -2t + 2t = 0 7 + 5t = 27 + 0 7 + 5t = 27 Add '-7' to each side of the equation. 7 + -7 + 5t = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 5t = 27 + -7 5t = 27 + -7 Combine like terms: 27 + -7 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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