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Simplifying 2(4t + -3) + t = 24 Reorder the terms: 2(-3 + 4t) + t = 24 (-3 * 2 + 4t * 2) + t = 24 (-6 + 8t) + t = 24 Combine like terms: 8t + t = 9t -6 + 9t = 24 Solving -6 + 9t = 24 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9t = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 9t = 24 + 6 9t = 24 + 6 Combine like terms: 24 + 6 = 30 9t = 30 Divide each side by '9'. t = 3.333333333 Simplifying t = 3.333333333
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