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Simplifying 100(t + -3) = 80t Reorder the terms: 100(-3 + t) = 80t (-3 * 100 + t * 100) = 80t (-300 + 100t) = 80t Solving -300 + 100t = 80t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-80t' to each side of the equation. -300 + 100t + -80t = 80t + -80t Combine like terms: 100t + -80t = 20t -300 + 20t = 80t + -80t Combine like terms: 80t + -80t = 0 -300 + 20t = 0 Add '300' to each side of the equation. -300 + 300 + 20t = 0 + 300 Combine like terms: -300 + 300 = 0 0 + 20t = 0 + 300 20t = 0 + 300 Combine like terms: 0 + 300 = 300 20t = 300 Divide each side by '20'. t = 15 Simplifying t = 15
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