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Simplifying 9t + 12 = 7t + 16 Reorder the terms: 12 + 9t = 7t + 16 Reorder the terms: 12 + 9t = 16 + 7t Solving 12 + 9t = 16 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 12 + 9t + -7t = 16 + 7t + -7t Combine like terms: 9t + -7t = 2t 12 + 2t = 16 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + 2t = 16 + 0 12 + 2t = 16 Add '-12' to each side of the equation. 12 + -12 + 2t = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = 16 + -12 2t = 16 + -12 Combine like terms: 16 + -12 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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