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Simplifying -9(t + 4) + 8(3t + 1) = 0 Reorder the terms: -9(4 + t) + 8(3t + 1) = 0 (4 * -9 + t * -9) + 8(3t + 1) = 0 (-36 + -9t) + 8(3t + 1) = 0 Reorder the terms: -36 + -9t + 8(1 + 3t) = 0 -36 + -9t + (1 * 8 + 3t * 8) = 0 -36 + -9t + (8 + 24t) = 0 Reorder the terms: -36 + 8 + -9t + 24t = 0 Combine like terms: -36 + 8 = -28 -28 + -9t + 24t = 0 Combine like terms: -9t + 24t = 15t -28 + 15t = 0 Solving -28 + 15t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 15t = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 15t = 0 + 28 15t = 0 + 28 Combine like terms: 0 + 28 = 28 15t = 28 Divide each side by '15'. t = 1.866666667 Simplifying t = 1.866666667
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