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Simplifying (-6.5t) + 15 = (-9.7t) + 43.8 Reorder the terms: 15 + (-6.5t) = (-9.7t) + 43.8 Reorder the terms: 15 + (-6.5t) = 43.8 + (-9.7t) Solving 15 + (-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. 15 + (-6.5t) + (9.7t) = 43.8 + (-9.7t) + (9.7t) Combine like terms: (-6.5t) + (9.7t) = 3.2t 15 + 3.2t = 43.8 + (-9.7t) + (9.7t) Combine like terms: (-9.7t) + (9.7t) = 0.0 15 + 3.2t = 43.8 + 0.0 15 + 3.2t = 43.8 Add '-15' to each side of the equation. 15 + -15 + 3.2t = 43.8 + -15 Combine like terms: 15 + -15 = 0 0 + 3.2t = 43.8 + -15 3.2t = 43.8 + -15 Combine like terms: 43.8 + -15 = 28.8 3.2t = 28.8 Divide each side by '3.2'. t = 9 Simplifying t = 9
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