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Simplifying 0.75t + 1 = 0.625t + -2 Reorder the terms: 1 + 0.75t = 0.625t + -2 Reorder the terms: 1 + 0.75t = -2 + 0.625t Solving 1 + 0.75t = -2 + 0.625t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.625t' to each side of the equation. 1 + 0.75t + -0.625t = -2 + 0.625t + -0.625t Combine like terms: 0.75t + -0.625t = 0.125t 1 + 0.125t = -2 + 0.625t + -0.625t Combine like terms: 0.625t + -0.625t = 0.000 1 + 0.125t = -2 + 0.000 1 + 0.125t = -2 Add '-1' to each side of the equation. 1 + -1 + 0.125t = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 0.125t = -2 + -1 0.125t = -2 + -1 Combine like terms: -2 + -1 = -3 0.125t = -3 Divide each side by '0.125'. t = -24 Simplifying t = -24
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