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Simplifying 5t + 3 + 2t + -6t = 4 + 12 Reorder the terms: 3 + 5t + 2t + -6t = 4 + 12 Combine like terms: 5t + 2t = 7t 3 + 7t + -6t = 4 + 12 Combine like terms: 7t + -6t = 1t 3 + 1t = 4 + 12 Combine like terms: 4 + 12 = 16 3 + 1t = 16 Solving 3 + 1t = 16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1t = 16 + -3 Combine like terms: 3 + -3 = 0 0 + 1t = 16 + -3 1t = 16 + -3 Combine like terms: 16 + -3 = 13 1t = 13 Divide each side by '1'. t = 13 Simplifying t = 13
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