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Simplifying 0.76 + 0.21t = 0.96t + -0.49 Reorder the terms: 0.76 + 0.21t = -0.49 + 0.96t Solving 0.76 + 0.21t = -0.49 + 0.96t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.96t' to each side of the equation. 0.76 + 0.21t + -0.96t = -0.49 + 0.96t + -0.96t Combine like terms: 0.21t + -0.96t = -0.75t 0.76 + -0.75t = -0.49 + 0.96t + -0.96t Combine like terms: 0.96t + -0.96t = 0.00 0.76 + -0.75t = -0.49 + 0.00 0.76 + -0.75t = -0.49 Add '-0.76' to each side of the equation. 0.76 + -0.76 + -0.75t = -0.49 + -0.76 Combine like terms: 0.76 + -0.76 = 0.00 0.00 + -0.75t = -0.49 + -0.76 -0.75t = -0.49 + -0.76 Combine like terms: -0.49 + -0.76 = -1.25 -0.75t = -1.25 Divide each side by '-0.75'. t = 1.666666667 Simplifying t = 1.666666667
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