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Simplifying 9(9t + -4) = 12(12 + -3) Reorder the terms: 9(-4 + 9t) = 12(12 + -3) (-4 * 9 + 9t * 9) = 12(12 + -3) (-36 + 81t) = 12(12 + -3) Combine like terms: 12 + -3 = 9 -36 + 81t = 12(9) Multiply 12 * 9 -36 + 81t = 108 Solving -36 + 81t = 108 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 + 81t = 108 + 36 Combine like terms: -36 + 36 = 0 0 + 81t = 108 + 36 81t = 108 + 36 Combine like terms: 108 + 36 = 144 81t = 144 Divide each side by '81'. t = 1.777777778 Simplifying t = 1.777777778
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