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Simplifying 5(5t + -4) = 40 + -5t Reorder the terms: 5(-4 + 5t) = 40 + -5t (-4 * 5 + 5t * 5) = 40 + -5t (-20 + 25t) = 40 + -5t Solving -20 + 25t = 40 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -20 + 25t + 5t = 40 + -5t + 5t Combine like terms: 25t + 5t = 30t -20 + 30t = 40 + -5t + 5t Combine like terms: -5t + 5t = 0 -20 + 30t = 40 + 0 -20 + 30t = 40 Add '20' to each side of the equation. -20 + 20 + 30t = 40 + 20 Combine like terms: -20 + 20 = 0 0 + 30t = 40 + 20 30t = 40 + 20 Combine like terms: 40 + 20 = 60 30t = 60 Divide each side by '30'. t = 2 Simplifying t = 2
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