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Simplifying 4 + 2[d + -4(d + -4)] = 0 Reorder the terms: 4 + 2[d + -4(-4 + d)] = 0 4 + 2[d + (-4 * -4 + d * -4)] = 0 4 + 2[d + (16 + -4d)] = 0 Reorder the terms: 4 + 2[16 + d + -4d] = 0 Combine like terms: d + -4d = -3d 4 + 2[16 + -3d] = 0 4 + [16 * 2 + -3d * 2] = 0 4 + [32 + -6d] = 0 Combine like terms: 4 + 32 = 36 36 + -6d = 0 Solving 36 + -6d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -6d = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -6d = 0 + -36 -6d = 0 + -36 Combine like terms: 0 + -36 = -36 -6d = -36 Divide each side by '-6'. d = 6 Simplifying d = 6
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