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Simplifying 6t + 4u + t + 9 = 0 Reorder the terms: 9 + 6t + t + 4u = 0 Combine like terms: 6t + t = 7t 9 + 7t + 4u = 0 Solving 9 + 7t + 4u = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 7t + -9 + 4u = 0 + -9 Reorder the terms: 9 + -9 + 7t + 4u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7t + 4u = 0 + -9 7t + 4u = 0 + -9 Combine like terms: 0 + -9 = -9 7t + 4u = -9 Add '-4u' to each side of the equation. 7t + 4u + -4u = -9 + -4u Combine like terms: 4u + -4u = 0 7t + 0 = -9 + -4u 7t = -9 + -4u Divide each side by '7'. t = -1.285714286 + -0.5714285714u Simplifying t = -1.285714286 + -0.5714285714u
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