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Simplifying 0.77 + 0.31t = 3.2t + -0.41 Reorder the terms: 0.77 + 0.31t = -0.41 + 3.2t Solving 0.77 + 0.31t = -0.41 + 3.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2t' to each side of the equation. 0.77 + 0.31t + -3.2t = -0.41 + 3.2t + -3.2t Combine like terms: 0.31t + -3.2t = -2.89t 0.77 + -2.89t = -0.41 + 3.2t + -3.2t Combine like terms: 3.2t + -3.2t = 0.0 0.77 + -2.89t = -0.41 + 0.0 0.77 + -2.89t = -0.41 Add '-0.77' to each side of the equation. 0.77 + -0.77 + -2.89t = -0.41 + -0.77 Combine like terms: 0.77 + -0.77 = 0.00 0.00 + -2.89t = -0.41 + -0.77 -2.89t = -0.41 + -0.77 Combine like terms: -0.41 + -0.77 = -1.18 -2.89t = -1.18 Divide each side by '-2.89'. t = 0.4083044983 Simplifying t = 0.4083044983
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