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Simplifying -6.5t + 18 = -9.7t + 43.8 Reorder the terms: 18 + -6.5t = -9.7t + 43.8 Reorder the terms: 18 + -6.5t = 43.8 + -9.7t Solving 18 + -6.5t = 43.8 + -9.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9.7t' to each side of the equation. 18 + -6.5t + 9.7t = 43.8 + -9.7t + 9.7t Combine like terms: -6.5t + 9.7t = 3.2t 18 + 3.2t = 43.8 + -9.7t + 9.7t Combine like terms: -9.7t + 9.7t = 0.0 18 + 3.2t = 43.8 + 0.0 18 + 3.2t = 43.8 Add '-18' to each side of the equation. 18 + -18 + 3.2t = 43.8 + -18 Combine like terms: 18 + -18 = 0 0 + 3.2t = 43.8 + -18 3.2t = 43.8 + -18 Combine like terms: 43.8 + -18 = 25.8 3.2t = 25.8 Divide each side by '3.2'. t = 8.0625 Simplifying t = 8.0625
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