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Simplifying 8(8t + 2u) + 5(7t + -4u) = 0 (8t * 8 + 2u * 8) + 5(7t + -4u) = 0 (64t + 16u) + 5(7t + -4u) = 0 64t + 16u + (7t * 5 + -4u * 5) = 0 64t + 16u + (35t + -20u) = 0 Reorder the terms: 64t + 35t + 16u + -20u = 0 Combine like terms: 64t + 35t = 99t 99t + 16u + -20u = 0 Combine like terms: 16u + -20u = -4u 99t + -4u = 0 Solving 99t + -4u = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4u' to each side of the equation. 99t + -4u + 4u = 0 + 4u Combine like terms: -4u + 4u = 0 99t + 0 = 0 + 4u 99t = 0 + 4u Remove the zero: 99t = 4u Divide each side by '99'. t = 0.0404040404u Simplifying t = 0.0404040404u
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