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Simplifying 0.74 + 0.32t = 2.57t + -0.61 Reorder the terms: 0.74 + 0.32t = -0.61 + 2.57t Solving 0.74 + 0.32t = -0.61 + 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. 0.74 + 0.32t + -2.57t = -0.61 + 2.57t + -2.57t Combine like terms: 0.32t + -2.57t = -2.25t 0.74 + -2.25t = -0.61 + 2.57t + -2.57t Combine like terms: 2.57t + -2.57t = 0.00 0.74 + -2.25t = -0.61 + 0.00 0.74 + -2.25t = -0.61 Add '-0.74' to each side of the equation. 0.74 + -0.74 + -2.25t = -0.61 + -0.74 Combine like terms: 0.74 + -0.74 = 0.00 0.00 + -2.25t = -0.61 + -0.74 -2.25t = -0.61 + -0.74 Combine like terms: -0.61 + -0.74 = -1.35 -2.25t = -1.35 Divide each side by '-2.25'. t = 0.6 Simplifying t = 0.6
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