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Simplifying 400 = 30 + 0.8(1 + -1t) * 300 + 40 + 50 Reorder the terms for easier multiplication: 400 = 30 + 0.8 * 300(1 + -1t) + 40 + 50 Multiply 0.8 * 300 400 = 30 + 240(1 + -1t) + 40 + 50 400 = 30 + (1 * 240 + -1t * 240) + 40 + 50 400 = 30 + (240 + -240t) + 40 + 50 Reorder the terms: 400 = 30 + 240 + 40 + 50 + -240t Combine like terms: 30 + 240 = 270 400 = 270 + 40 + 50 + -240t Combine like terms: 270 + 40 = 310 400 = 310 + 50 + -240t Combine like terms: 310 + 50 = 360 400 = 360 + -240t Solving 400 = 360 + -240t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '240t' to each side of the equation. 400 + 240t = 360 + -240t + 240t Combine like terms: -240t + 240t = 0 400 + 240t = 360 + 0 400 + 240t = 360 Add '-400' to each side of the equation. 400 + -400 + 240t = 360 + -400 Combine like terms: 400 + -400 = 0 0 + 240t = 360 + -400 240t = 360 + -400 Combine like terms: 360 + -400 = -40 240t = -40 Divide each side by '240'. t = -0.1666666667 Simplifying t = -0.1666666667
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