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Simplifying -6.5 + 15t = -9.7t + 43.8 Reorder the terms: -6.5 + 15t = 43.8 + -9.7t Solving -6.5 + 15t = 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. -6.5 + 15t + 9.7t = 43.8 + -9.7t + 9.7t Combine like terms: 15t + 9.7t = 24.7t -6.5 + 24.7t = 43.8 + -9.7t + 9.7t Combine like terms: -9.7t + 9.7t = 0.0 -6.5 + 24.7t = 43.8 + 0.0 -6.5 + 24.7t = 43.8 Add '6.5' to each side of the equation. -6.5 + 6.5 + 24.7t = 43.8 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 24.7t = 43.8 + 6.5 24.7t = 43.8 + 6.5 Combine like terms: 43.8 + 6.5 = 50.3 24.7t = 50.3 Divide each side by '24.7'. t = 2.036437247 Simplifying t = 2.036437247
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