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Simplifying 6.5t + 15 = -9.7t + 43.8t Reorder the terms: 15 + 6.5t = -9.7t + 43.8t Combine like terms: -9.7t + 43.8t = 34.1t 15 + 6.5t = 34.1t Solving 15 + 6.5t = 34.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-34.1t' to each side of the equation. 15 + 6.5t + -34.1t = 34.1t + -34.1t Combine like terms: 6.5t + -34.1t = -27.6t 15 + -27.6t = 34.1t + -34.1t Combine like terms: 34.1t + -34.1t = 0.0 15 + -27.6t = 0.0 Add '-15' to each side of the equation. 15 + -15 + -27.6t = 0.0 + -15 Combine like terms: 15 + -15 = 0 0 + -27.6t = 0.0 + -15 -27.6t = 0.0 + -15 Combine like terms: 0.0 + -15 = -15 -27.6t = -15 Divide each side by '-27.6'. t = 0.5434782609 Simplifying t = 0.5434782609
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