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Simplifying 10t + u + 18 = 10u + t Reorder the terms: 18 + 10t + u = 10u + t Reorder the terms: 18 + 10t + u = t + 10u Solving 18 + 10t + u = t + 10u Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 18 + 10t + -1t + u = t + -1t + 10u Combine like terms: 10t + -1t = 9t 18 + 9t + u = t + -1t + 10u Combine like terms: t + -1t = 0 18 + 9t + u = 0 + 10u 18 + 9t + u = 10u Add '-18' to each side of the equation. 18 + 9t + -18 + u = -18 + 10u Reorder the terms: 18 + -18 + 9t + u = -18 + 10u Combine like terms: 18 + -18 = 0 0 + 9t + u = -18 + 10u 9t + u = -18 + 10u Add '-1u' to each side of the equation. 9t + u + -1u = -18 + 10u + -1u Combine like terms: u + -1u = 0 9t + 0 = -18 + 10u + -1u 9t = -18 + 10u + -1u Combine like terms: 10u + -1u = 9u 9t = -18 + 9u Divide each side by '9'. t = -2 + u Simplifying t = -2 + u
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