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Simplifying 900 = 100 + 0.75(1 + -1t) * 900 + 100 + 100 Reorder the terms for easier multiplication: 900 = 100 + 0.75 * 900(1 + -1t) + 100 + 100 Multiply 0.75 * 900 900 = 100 + 675(1 + -1t) + 100 + 100 900 = 100 + (1 * 675 + -1t * 675) + 100 + 100 900 = 100 + (675 + -675t) + 100 + 100 Reorder the terms: 900 = 100 + 675 + 100 + 100 + -675t Combine like terms: 100 + 675 = 775 900 = 775 + 100 + 100 + -675t Combine like terms: 775 + 100 = 875 900 = 875 + 100 + -675t Combine like terms: 875 + 100 = 975 900 = 975 + -675t Solving 900 = 975 + -675t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '675t' to each side of the equation. 900 + 675t = 975 + -675t + 675t Combine like terms: -675t + 675t = 0 900 + 675t = 975 + 0 900 + 675t = 975 Add '-900' to each side of the equation. 900 + -900 + 675t = 975 + -900 Combine like terms: 900 + -900 = 0 0 + 675t = 975 + -900 675t = 975 + -900 Combine like terms: 975 + -900 = 75 675t = 75 Divide each side by '675'. t = 0.1111111111 Simplifying t = 0.1111111111
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