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Simplifying 6t + 4u + 1 + 9u = 0 Reorder the terms: 1 + 6t + 4u + 9u = 0 Combine like terms: 4u + 9u = 13u 1 + 6t + 13u = 0 Solving 1 + 6t + 13u = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6t + -1 + 13u = 0 + -1 Reorder the terms: 1 + -1 + 6t + 13u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6t + 13u = 0 + -1 6t + 13u = 0 + -1 Combine like terms: 0 + -1 = -1 6t + 13u = -1 Add '-13u' to each side of the equation. 6t + 13u + -13u = -1 + -13u Combine like terms: 13u + -13u = 0 6t + 0 = -1 + -13u 6t = -1 + -13u Divide each side by '6'. t = -0.1666666667 + -2.166666667u Simplifying t = -0.1666666667 + -2.166666667u
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