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Simplifying 5(t + u) = 6 + 3t (t * 5 + u * 5) = 6 + 3t (5t + 5u) = 6 + 3t Solving 5t + 5u = 6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 5t + -3t + 5u = 6 + 3t + -3t Combine like terms: 5t + -3t = 2t 2t + 5u = 6 + 3t + -3t Combine like terms: 3t + -3t = 0 2t + 5u = 6 + 0 2t + 5u = 6 Add '-5u' to each side of the equation. 2t + 5u + -5u = 6 + -5u Combine like terms: 5u + -5u = 0 2t + 0 = 6 + -5u 2t = 6 + -5u Divide each side by '2'. t = 3 + -2.5u Simplifying t = 3 + -2.5u
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