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Simplifying (-4z + 9d) + -1(-12z + 6d) = 0 Reorder the terms: (9d + -4z) + -1(-12z + 6d) = 0 Remove parenthesis around (9d + -4z) 9d + -4z + -1(-12z + 6d) = 0 Reorder the terms: 9d + -4z + -1(6d + -12z) = 0 9d + -4z + (6d * -1 + -12z * -1) = 0 9d + -4z + (-6d + 12z) = 0 Reorder the terms: 9d + -6d + -4z + 12z = 0 Combine like terms: 9d + -6d = 3d 3d + -4z + 12z = 0 Combine like terms: -4z + 12z = 8z 3d + 8z = 0 Solving 3d + 8z = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8z' to each side of the equation. 3d + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 3d + 0 = 0 + -8z 3d = 0 + -8z Remove the zero: 3d = -8z Divide each side by '3'. d = -2.666666667z Simplifying d = -2.666666667z
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