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Simplifying 0.75t + 1000 = 6t Reorder the terms: 1000 + 0.75t = 6t Solving 1000 + 0.75t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 1000 + 0.75t + -6t = 6t + -6t Combine like terms: 0.75t + -6t = -5.25t 1000 + -5.25t = 6t + -6t Combine like terms: 6t + -6t = 0 1000 + -5.25t = 0 Add '-1000' to each side of the equation. 1000 + -1000 + -5.25t = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -5.25t = 0 + -1000 -5.25t = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -5.25t = -1000 Divide each side by '-5.25'. t = 190.4761905 Simplifying t = 190.4761905
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