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Simplifying 4(3t + -5) = 8t Reorder the terms: 4(-5 + 3t) = 8t (-5 * 4 + 3t * 4) = 8t (-20 + 12t) = 8t Solving -20 + 12t = 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -20 + 12t + -8t = 8t + -8t Combine like terms: 12t + -8t = 4t -20 + 4t = 8t + -8t Combine like terms: 8t + -8t = 0 -20 + 4t = 0 Add '20' to each side of the equation. -20 + 20 + 4t = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4t = 0 + 20 4t = 0 + 20 Combine like terms: 0 + 20 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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