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Simplifying 3t + 7 = 40 + 2t + 112 Reorder the terms: 7 + 3t = 40 + 2t + 112 Reorder the terms: 7 + 3t = 40 + 112 + 2t Combine like terms: 40 + 112 = 152 7 + 3t = 152 + 2t Solving 7 + 3t = 152 + 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 = 152 + 2t + -2t Combine like terms: 3t + -2t = 1t 7 + 1t = 152 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 1t = 152 + 0 7 + 1t = 152 Add '-7' to each side of the equation. 7 + -7 + 1t = 152 + -7 Combine like terms: 7 + -7 = 0 0 + 1t = 152 + -7 1t = 152 + -7 Combine like terms: 152 + -7 = 145 1t = 145 Divide each side by '1'. t = 145 Simplifying t = 145
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