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Simplifying 7t + 10 = 5t + 12 Reorder the terms: 10 + 7t = 5t + 12 Reorder the terms: 10 + 7t = 12 + 5t Solving 10 + 7t = 12 + 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. 10 + 7t + -5t = 12 + 5t + -5t Combine like terms: 7t + -5t = 2t 10 + 2t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 10 + 2t = 12 + 0 10 + 2t = 12 Add '-10' to each side of the equation. 10 + -10 + 2t = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2t = 12 + -10 2t = 12 + -10 Combine like terms: 12 + -10 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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