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Simplifying 0.61 + 0.47t = 2.57t + -1.07 Reorder the terms: 0.61 + 0.47t = -1.07 + 2.57t Solving 0.61 + 0.47t = -1.07 + 2.57t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.57t' to each side of the equation. 0.61 + 0.47t + -2.57t = -1.07 + 2.57t + -2.57t Combine like terms: 0.47t + -2.57t = -2.1t 0.61 + -2.1t = -1.07 + 2.57t + -2.57t Combine like terms: 2.57t + -2.57t = 0.00 0.61 + -2.1t = -1.07 + 0.00 0.61 + -2.1t = -1.07 Add '-0.61' to each side of the equation. 0.61 + -0.61 + -2.1t = -1.07 + -0.61 Combine like terms: 0.61 + -0.61 = 0.00 0.00 + -2.1t = -1.07 + -0.61 -2.1t = -1.07 + -0.61 Combine like terms: -1.07 + -0.61 = -1.68 -2.1t = -1.68 Divide each side by '-2.1'. t = 0.8 Simplifying t = 0.8
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