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Simplifying (7t + -3u + -1v + 1 + 9x)(2) = 0 Reorder the terms: (1 + 7t + -3u + -1v + 9x)(2) = 0 Reorder the terms for easier multiplication: 2(1 + 7t + -3u + -1v + 9x) = 0 (1 * 2 + 7t * 2 + -3u * 2 + -1v * 2 + 9x * 2) = 0 (2 + 14t + -6u + -2v + 18x) = 0 Solving 2 + 14t + -6u + -2v + 18x = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 14t + -6u + -2v + -2 + 18x = 0 + -2 Reorder the terms: 2 + -2 + 14t + -6u + -2v + 18x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 14t + -6u + -2v + 18x = 0 + -2 14t + -6u + -2v + 18x = 0 + -2 Combine like terms: 0 + -2 = -2 14t + -6u + -2v + 18x = -2 Add '6u' to each side of the equation. 14t + -6u + -2v + 6u + 18x = -2 + 6u Reorder the terms: 14t + -6u + 6u + -2v + 18x = -2 + 6u Combine like terms: -6u + 6u = 0 14t + 0 + -2v + 18x = -2 + 6u 14t + -2v + 18x = -2 + 6u Add '2v' to each side of the equation. 14t + -2v + 2v + 18x = -2 + 6u + 2v Combine like terms: -2v + 2v = 0 14t + 0 + 18x = -2 + 6u + 2v 14t + 18x = -2 + 6u + 2v Add '-18x' to each side of the equation. 14t + 18x + -18x = -2 + 6u + 2v + -18x Combine like terms: 18x + -18x = 0 14t + 0 = -2 + 6u + 2v + -18x 14t = -2 + 6u + 2v + -18x Divide each side by '14'. t = -0.1428571429 + 0.4285714286u + 0.1428571429v + -1.285714286x Simplifying t = -0.1428571429 + 0.4285714286u + 0.1428571429v + -1.285714286x
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