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Simplifying 3t + 113 = 5t + 106 Reorder the terms: 113 + 3t = 5t + 106 Reorder the terms: 113 + 3t = 106 + 5t Solving 113 + 3t = 106 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 113 + 3t + -5t = 106 + 5t + -5t Combine like terms: 3t + -5t = -2t 113 + -2t = 106 + 5t + -5t Combine like terms: 5t + -5t = 0 113 + -2t = 106 + 0 113 + -2t = 106 Add '-113' to each side of the equation. 113 + -113 + -2t = 106 + -113 Combine like terms: 113 + -113 = 0 0 + -2t = 106 + -113 -2t = 106 + -113 Combine like terms: 106 + -113 = -7 -2t = -7 Divide each side by '-2'. t = 3.5 Simplifying t = 3.5
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