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Simplifying 0.53 + 0.21t = 1.09t + -0.79 Reorder the terms: 0.53 + 0.21t = -0.79 + 1.09t Solving 0.53 + 0.21t = -0.79 + 1.09t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.09t' to each side of the equation. 0.53 + 0.21t + -1.09t = -0.79 + 1.09t + -1.09t Combine like terms: 0.21t + -1.09t = -0.88t 0.53 + -0.88t = -0.79 + 1.09t + -1.09t Combine like terms: 1.09t + -1.09t = 0.00 0.53 + -0.88t = -0.79 + 0.00 0.53 + -0.88t = -0.79 Add '-0.53' to each side of the equation. 0.53 + -0.53 + -0.88t = -0.79 + -0.53 Combine like terms: 0.53 + -0.53 = 0.00 0.00 + -0.88t = -0.79 + -0.53 -0.88t = -0.79 + -0.53 Combine like terms: -0.79 + -0.53 = -1.32 -0.88t = -1.32 Divide each side by '-0.88'. t = 1.5 Simplifying t = 1.5
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