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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 = 58.8 3.2t = 58.8 Divide each side by '3.2'. t = 18.375 Simplifying t = 18.375
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