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Simplifying 4(2t + -5) + 3t = 40 + -1t Reorder the terms: 4(-5 + 2t) + 3t = 40 + -1t (-5 * 4 + 2t * 4) + 3t = 40 + -1t (-20 + 8t) + 3t = 40 + -1t Combine like terms: 8t + 3t = 11t -20 + 11t = 40 + -1t Solving -20 + 11t = 40 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -20 + 11t + t = 40 + -1t + t Combine like terms: 11t + t = 12t -20 + 12t = 40 + -1t + t Combine like terms: -1t + t = 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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