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Simplifying 40t + 60(t + -2) = 380 Reorder the terms: 40t + 60(-2 + t) = 380 40t + (-2 * 60 + t * 60) = 380 40t + (-120 + 60t) = 380 Reorder the terms: -120 + 40t + 60t = 380 Combine like terms: 40t + 60t = 100t -120 + 100t = 380 Solving -120 + 100t = 380 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 100t = 380 + 120 Combine like terms: -120 + 120 = 0 0 + 100t = 380 + 120 100t = 380 + 120 Combine like terms: 380 + 120 = 500 100t = 500 Divide each side by '100'. t = 5 Simplifying t = 5
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