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Simplifying 7(7t + -4w + z) = 0 (7t * 7 + -4w * 7 + z * 7) = 0 (49t + -28w + 7z) = 0 Solving 49t + -28w + 7z = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28w' to each side of the equation. 49t + -28w + 28w + 7z = 0 + 28w Combine like terms: -28w + 28w = 0 49t + 0 + 7z = 0 + 28w 49t + 7z = 0 + 28w Remove the zero: 49t + 7z = 28w Add '-7z' to each side of the equation. 49t + 7z + -7z = 28w + -7z Combine like terms: 7z + -7z = 0 49t + 0 = 28w + -7z 49t = 28w + -7z Divide each side by '49'. t = 0.5714285714w + -0.1428571429z Simplifying t = 0.5714285714w + -0.1428571429z
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