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Simplifying 10t + -4u + 7u + -6t = 0 Reorder the terms: 10t + -6t + -4u + 7u = 0 Combine like terms: 10t + -6t = 4t 4t + -4u + 7u = 0 Combine like terms: -4u + 7u = 3u 4t + 3u = 0 Solving 4t + 3u = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3u' to each side of the equation. 4t + 3u + -3u = 0 + -3u Combine like terms: 3u + -3u = 0 4t + 0 = 0 + -3u 4t = 0 + -3u Remove the zero: 4t = -3u Divide each side by '4'. t = -0.75u Simplifying t = -0.75u
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