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Simplifying 2(t + 12) + -6(2 + -3) = 14 Reorder the terms: 2(12 + t) + -6(2 + -3) = 14 (12 * 2 + t * 2) + -6(2 + -3) = 14 (24 + 2t) + -6(2 + -3) = 14 Combine like terms: 2 + -3 = -1 24 + 2t + -6(-1) = 14 Multiply -6 * -1 24 + 2t + 6 = 14 Reorder the terms: 24 + 6 + 2t = 14 Combine like terms: 24 + 6 = 30 30 + 2t = 14 Solving 30 + 2t = 14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 2t = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 2t = 14 + -30 2t = 14 + -30 Combine like terms: 14 + -30 = -16 2t = -16 Divide each side by '2'. t = -8 Simplifying t = -8
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