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Simplifying 2(4t + -5) + -3t = 10 Reorder the terms: 2(-5 + 4t) + -3t = 10 (-5 * 2 + 4t * 2) + -3t = 10 (-10 + 8t) + -3t = 10 Combine like terms: 8t + -3t = 5t -10 + 5t = 10 Solving -10 + 5t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 5t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 5t = 10 + 10 5t = 10 + 10 Combine like terms: 10 + 10 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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