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Simplifying 2(5t + -4) = 40 + -2t Reorder the terms: 2(-4 + 5t) = 40 + -2t (-4 * 2 + 5t * 2) = 40 + -2t (-8 + 10t) = 40 + -2t Solving -8 + 10t = 40 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -8 + 10t + 2t = 40 + -2t + 2t Combine like terms: 10t + 2t = 12t -8 + 12t = 40 + -2t + 2t Combine like terms: -2t + 2t = 0 -8 + 12t = 40 + 0 -8 + 12t = 40 Add '8' to each side of the equation. -8 + 8 + 12t = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 12t = 40 + 8 12t = 40 + 8 Combine like terms: 40 + 8 = 48 12t = 48 Divide each side by '12'. t = 4 Simplifying t = 4
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