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Simplifying -6t + 15 = -9.7t + 43.8 Reorder the terms: 15 + -6t = -9.7t + 43.8 Reorder the terms: 15 + -6t = 43.8 + -9.7t Solving 15 + -6t = 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 + -6t + 9.7t = 43.8 + -9.7t + 9.7t Combine like terms: -6t + 9.7t = 3.7t 15 + 3.7t = 43.8 + -9.7t + 9.7t Combine like terms: -9.7t + 9.7t = 0.0 15 + 3.7t = 43.8 + 0.0 15 + 3.7t = 43.8 Add '-15' to each side of the equation. 15 + -15 + 3.7t = 43.8 + -15 Combine like terms: 15 + -15 = 0 0 + 3.7t = 43.8 + -15 3.7t = 43.8 + -15 Combine like terms: 43.8 + -15 = 28.8 3.7t = 28.8 Divide each side by '3.7'. t = 7.783783784 Simplifying t = 7.783783784
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