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Simplifying -6.5 + 15 = -9.7t + 43.8 Combine like terms: -6.5 + 15 = 8.5 8.5 = -9.7t + 43.8 Reorder the terms: 8.5 = 43.8 + -9.7t Solving 8.5 = 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. 8.5 + 9.7t = 43.8 + -9.7t + 9.7t Combine like terms: -9.7t + 9.7t = 0.0 8.5 + 9.7t = 43.8 + 0.0 8.5 + 9.7t = 43.8 Add '-8.5' to each side of the equation. 8.5 + -8.5 + 9.7t = 43.8 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + 9.7t = 43.8 + -8.5 9.7t = 43.8 + -8.5 Combine like terms: 43.8 + -8.5 = 35.3 9.7t = 35.3 Divide each side by '9.7'. t = 3.639175258 Simplifying t = 3.639175258
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