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Simplifying 3(3t + -8) + -4t = 10 Reorder the terms: 3(-8 + 3t) + -4t = 10 (-8 * 3 + 3t * 3) + -4t = 10 (-24 + 9t) + -4t = 10 Combine like terms: 9t + -4t = 5t -24 + 5t = 10 Solving -24 + 5t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 5t = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 5t = 10 + 24 5t = 10 + 24 Combine like terms: 10 + 24 = 34 5t = 34 Divide each side by '5'. t = 6.8 Simplifying t = 6.8
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