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Simplifying 3[2 + -9(t + -12)] = 12(3t + 2) + 348 Reorder the terms: 3[2 + -9(-12 + t)] = 12(3t + 2) + 348 3[2 + (-12 * -9 + t * -9)] = 12(3t + 2) + 348 3[2 + (108 + -9t)] = 12(3t + 2) + 348 Combine like terms: 2 + 108 = 110 3[110 + -9t] = 12(3t + 2) + 348 [110 * 3 + -9t * 3] = 12(3t + 2) + 348 [330 + -27t] = 12(3t + 2) + 348 Reorder the terms: 330 + -27t = 12(2 + 3t) + 348 330 + -27t = (2 * 12 + 3t * 12) + 348 330 + -27t = (24 + 36t) + 348 Reorder the terms: 330 + -27t = 24 + 348 + 36t Combine like terms: 24 + 348 = 372 330 + -27t = 372 + 36t Solving 330 + -27t = 372 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. 330 + -27t + -36t = 372 + 36t + -36t Combine like terms: -27t + -36t = -63t 330 + -63t = 372 + 36t + -36t Combine like terms: 36t + -36t = 0 330 + -63t = 372 + 0 330 + -63t = 372 Add '-330' to each side of the equation. 330 + -330 + -63t = 372 + -330 Combine like terms: 330 + -330 = 0 0 + -63t = 372 + -330 -63t = 372 + -330 Combine like terms: 372 + -330 = 42 -63t = 42 Divide each side by '-63'. t = -0.6666666667 Simplifying t = -0.6666666667
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