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Simplifying (7z + -1t) * 6 = 1974 Reorder the terms: (-1t + 7z) * 6 = 1974 Reorder the terms for easier multiplication: 6(-1t + 7z) = 1974 (-1t * 6 + 7z * 6) = 1974 (-6t + 42z) = 1974 Solving -6t + 42z = 1974 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42z' to each side of the equation. -6t + 42z + -42z = 1974 + -42z Combine like terms: 42z + -42z = 0 -6t + 0 = 1974 + -42z -6t = 1974 + -42z Divide each side by '-6'. t = -329 + 7z Simplifying t = -329 + 7z
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