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Simplifying 4(2t + -5) = 40 + -4t Reorder the terms: 4(-5 + 2t) = 40 + -4t (-5 * 4 + 2t * 4) = 40 + -4t (-20 + 8t) = 40 + -4t Solving -20 + 8t = 40 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -20 + 8t + 4t = 40 + -4t + 4t Combine like terms: 8t + 4t = 12t -20 + 12t = 40 + -4t + 4t Combine like terms: -4t + 4t = 0 -20 + 12t = 40 + 0 -20 + 12t = 40 Add '20' to each side of the equation. -20 + 20 + 12t = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 12t = 40 + 20 12t = 40 + 20 Combine like terms: 40 + 20 = 60 12t = 60 Divide each side by '12'. t = 5 Simplifying t = 5
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