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Simplifying 4x + 2z + 2t + 3u = 31 Reorder the terms: 2t + 3u + 4x + 2z = 31 Solving 2t + 3u + 4x + 2z = 31 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. 2t + 3u + 4x + -3u + 2z = 31 + -3u Reorder the terms: 2t + 3u + -3u + 4x + 2z = 31 + -3u Combine like terms: 3u + -3u = 0 2t + 0 + 4x + 2z = 31 + -3u 2t + 4x + 2z = 31 + -3u Add '-4x' to each side of the equation. 2t + 4x + -4x + 2z = 31 + -3u + -4x Combine like terms: 4x + -4x = 0 2t + 0 + 2z = 31 + -3u + -4x 2t + 2z = 31 + -3u + -4x Add '-2z' to each side of the equation. 2t + 2z + -2z = 31 + -3u + -4x + -2z Combine like terms: 2z + -2z = 0 2t + 0 = 31 + -3u + -4x + -2z 2t = 31 + -3u + -4x + -2z Divide each side by '2'. t = 15.5 + -1.5u + -2x + -1z Simplifying t = 15.5 + -1.5u + -2x + -1z
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