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Simplifying 2(4t + -5) = 3(t + 5) Reorder the terms: 2(-5 + 4t) = 3(t + 5) (-5 * 2 + 4t * 2) = 3(t + 5) (-10 + 8t) = 3(t + 5) Reorder the terms: -10 + 8t = 3(5 + t) -10 + 8t = (5 * 3 + t * 3) -10 + 8t = (15 + 3t) Solving -10 + 8t = 15 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -10 + 8t + -3t = 15 + 3t + -3t Combine like terms: 8t + -3t = 5t -10 + 5t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 5t = 15 + 0 -10 + 5t = 15 Add '10' to each side of the equation. -10 + 10 + 5t = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 5t = 15 + 10 5t = 15 + 10 Combine like terms: 15 + 10 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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