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Simplifying 9(t + -2) + 3t + 4(3t + 4) = 11 Reorder the terms: 9(-2 + t) + 3t + 4(3t + 4) = 11 (-2 * 9 + t * 9) + 3t + 4(3t + 4) = 11 (-18 + 9t) + 3t + 4(3t + 4) = 11 Reorder the terms: -18 + 9t + 3t + 4(4 + 3t) = 11 -18 + 9t + 3t + (4 * 4 + 3t * 4) = 11 -18 + 9t + 3t + (16 + 12t) = 11 Reorder the terms: -18 + 16 + 9t + 3t + 12t = 11 Combine like terms: -18 + 16 = -2 -2 + 9t + 3t + 12t = 11 Combine like terms: 9t + 3t = 12t -2 + 12t + 12t = 11 Combine like terms: 12t + 12t = 24t -2 + 24t = 11 Solving -2 + 24t = 11 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 24t = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 24t = 11 + 2 24t = 11 + 2 Combine like terms: 11 + 2 = 13 24t = 13 Divide each side by '24'. t = 0.5416666667 Simplifying t = 0.5416666667
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