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Simplifying 12(t + 3) + -3t = 117 Reorder the terms: 12(3 + t) + -3t = 117 (3 * 12 + t * 12) + -3t = 117 (36 + 12t) + -3t = 117 Combine like terms: 12t + -3t = 9t 36 + 9t = 117 Solving 36 + 9t = 117 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 9t = 117 + -36 Combine like terms: 36 + -36 = 0 0 + 9t = 117 + -36 9t = 117 + -36 Combine like terms: 117 + -36 = 81 9t = 81 Divide each side by '9'. t = 9 Simplifying t = 9
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