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