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Simplifying 10t + u = 7(t + u) 10t + u = (t * 7 + u * 7) 10t + u = (7t + 7u) Solving 10t + u = 7t + 7u Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 10t + -7t + u = 7t + -7t + 7u Combine like terms: 10t + -7t = 3t 3t + u = 7t + -7t + 7u Combine like terms: 7t + -7t = 0 3t + u = 0 + 7u 3t + u = 7u Add '-1u' to each side of the equation. 3t + u + -1u = 7u + -1u Combine like terms: u + -1u = 0 3t + 0 = 7u + -1u 3t = 7u + -1u Combine like terms: 7u + -1u = 6u 3t = 6u Divide each side by '3'. t = 2u Simplifying t = 2u
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