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Simplifying 400 = 30 + 0.8(1 + -1t) * 400 + 40 + 50 Reorder the terms for easier multiplication: 400 = 30 + 0.8 * 400(1 + -1t) + 40 + 50 Multiply 0.8 * 400 400 = 30 + 320(1 + -1t) + 40 + 50 400 = 30 + (1 * 320 + -1t * 320) + 40 + 50 400 = 30 + (320 + -320t) + 40 + 50 Reorder the terms: 400 = 30 + 320 + 40 + 50 + -320t Combine like terms: 30 + 320 = 350 400 = 350 + 40 + 50 + -320t Combine like terms: 350 + 40 = 390 400 = 390 + 50 + -320t Combine like terms: 390 + 50 = 440 400 = 440 + -320t Solving 400 = 440 + -320t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '320t' to each side of the equation. 400 + 320t = 440 + -320t + 320t Combine like terms: -320t + 320t = 0 400 + 320t = 440 + 0 400 + 320t = 440 Add '-400' to each side of the equation. 400 + -400 + 320t = 440 + -400 Combine like terms: 400 + -400 = 0 0 + 320t = 440 + -400 320t = 440 + -400 Combine like terms: 440 + -400 = 40 320t = 40 Divide each side by '320'. t = 0.125 Simplifying t = 0.125
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